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224110130040 = 233252692314231
BaseRepresentation
bin1101000010111000000…
…0010011001101111000
3210102110121202012012200
43100232000103031320
512132434143130130
6250542121510200
722122441450216
oct3205600231570
9712417665180
10224110130040
1187054364805
1237526042360
1318197397b04
14abc01c7cb6
155c69e6b760
hex342e013378

224110130040 has 96 divisors (see below), whose sum is σ = 731065888800. Its totient is φ = 59540509440.

The previous prime is 224110130039. The next prime is 224110130047. The reversal of 224110130040 is 40031011422.

224110130040 is a `hidden beast` number, since 224 + 1 + 101 + 300 + 40 = 666.

224110130040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 224110129995 and 224110130022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224110130047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1060276 + ... + 1253955.

It is an arithmetic number, because the mean of its divisors is an integer number (7615269675).

Almost surely, 2224110130040 is an apocalyptic number.

224110130040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224110130040 is an abundant number, since it is smaller than the sum of its proper divisors (506955758760).

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

224110130040 is a wasteful number, since it uses less digits than its factorization.

224110130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314517 (or 2314510 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 224110130040 its reverse (40031011422), we get a palindrome (264141141462).

The spelling of 224110130040 in words is "two hundred twenty-four billion, one hundred ten million, one hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 269 360 538 807 1076 1345 1614 2152 2421 2690 3228 4035 4842 5380 6456 8070 9684 10760 12105 16140 19368 24210 32280 48420 96840 2314231 4628462 6942693 9256924 11571155 13885386 18513848 20828079 23142310 27770772 34713465 41656158 46284620 55541544 69426930 83312316 92569240 104140395 138853860 166624632 208280790 277707720 416561580 622528139 833123160 1245056278 1867584417 2490112556 3112640695 3735168834 4980225112 5602753251 6225281390 7470337668 9337922085 11205506502 12450562780 14940675336 18675844170 22411013004 24901125560 28013766255 37351688340 44822026008 56027532510 74703376680 112055065020 224110130040