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224013060841360 = 24577339713802951
BaseRepresentation
bin110010111011110100011010…
…111010101001111110010000
31002101011102212101001202021111
4302323310122322221332100
5213330212222033410420
62112234102432503104
765120260322560330
oct6273643272517620
91071142771052244
10224013060841360
116541745092241a
122115b2949aaa94
1397cc458222c2b
143d4640ba670c0
151ad716184e45a
hexcbbd1aea9f90

224013060841360 has 160 divisors (see below), whose sum is σ = 604908518948352. Its totient is φ = 75561544396800.

The previous prime is 224013060841333. The next prime is 224013060841363. The reversal of 224013060841360 is 63148060310422.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (224013060841363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9327885 + ... + 23130835.

Almost surely, 2224013060841360 is an apocalyptic number.

224013060841360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224013060841360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302454259474176).

224013060841360 is an abundant number, since it is smaller than the sum of its proper divisors (380895458106992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

224013060841360 is a wasteful number, since it uses less digits than its factorization.

224013060841360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13803441 (or 13803435 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 224013060841360 in words is "two hundred twenty-four trillion, thirteen billion, sixty million, eight hundred forty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 73 80 112 140 146 280 292 365 397 511 560 584 730 794 1022 1168 1460 1588 1985 2044 2555 2779 2920 3176 3970 4088 5110 5558 5840 6352 7940 8176 10220 11116 13895 15880 20440 22232 27790 28981 31760 40880 44464 55580 57962 111160 115924 144905 202867 222320 231848 289810 405734 463696 579620 811468 1014335 1159240 1622936 2028670 2318480 3245872 4057340 8114680 13802951 16229360 27605902 55211804 69014755 96620657 110423608 138029510 193241314 220847216 276059020 386482628 483103285 552118040 772965256 966206570 1007615423 1104236080 1545930512 1932413140 2015230846 3864826280 4030461692 5038077115 5479771547 7053307961 7729652560 8060923384 10076154230 10959543094 14106615922 16121846768 20152308460 21919086188 27398857735 28213231844 35266539805 38358400829 40304616920 43838172376 54797715470 56426463688 70533079610 76716801658 80609233840 87676344752 109595430940 112852927376 141066159220 153433603316 191792004145 219190861880 282132318440 306867206632 383584008290 400023322931 438381723760 564264636880 613734413264 767168016580 800046645862 1534336033160 1600093291724 2000116614655 2800163260517 3068672066320 3200186583448 4000233229310 5600326521034 6400373166896 8000466458620 11200653042068 14000816302585 16000932917240 22401306084136 28001632605170 32001865834480 44802612168272 56003265210340 112006530420680 224013060841360