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202001402240 = 2751129279803
BaseRepresentation
bin1011110000100000111…
…0001100100110000000
3201022101211021110020022
42330020032030212000
511302144324332430
6232444223033012
720410532405651
oct2741016144600
9638354243208
10202001402240
1178739586340
1233195a3b768
1316082b67861
149ac3c23528
1553c40124e5
hex2f0838c980

202001402240 has 128 divisors (see below), whose sum is σ = 527044216320. Its totient is φ = 73422469120.

The previous prime is 202001402189. The next prime is 202001402243. The reversal of 202001402240 is 42204100202.

It is a happy number.

202001402240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2020014022403 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202001402243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20601179 + ... + 20610981.

It is an arithmetic number, because the mean of its divisors is an integer number (4117532940).

Almost surely, 2202001402240 is an apocalyptic number.

202001402240 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 202001402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263522108160).

202001402240 is an abundant number, since it is smaller than the sum of its proper divisors (325042814080).

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

202001402240 is a wasteful number, since it uses less digits than its factorization.

202001402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12760 (or 12748 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 202001402240 its reverse (42204100202), we get a palindrome (244205502442).

The spelling of 202001402240 in words is "two hundred two billion, one million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 2927 3520 5854 7040 9803 11708 14635 19606 23416 29270 32197 39212 46832 49015 58540 64394 78424 93664 98030 107833 117080 128788 156848 160985 187328 196060 215666 234160 257576 313696 321970 374656 392120 431332 468320 515152 539165 627392 643940 784240 862664 936640 1030304 1078330 1254784 1287880 1568480 1725328 1873280 2060608 2156660 2575760 3136960 3450656 4121216 4313320 5151520 6273920 6901312 8626640 10303040 13802624 17253280 20606080 28693381 34506560 57386762 69013120 114773524 143466905 229547048 286933810 315627191 459094096 573867620 631254382 918188192 1147735240 1262508764 1578135955 1836376384 2295470480 2525017528 3156271910 3672752768 4590940960 5050035056 6312543820 9181881920 10100070112 12625087640 18363763840 20200140224 25250175280 40400280448 50500350560 101000701120 202001402240