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23140121220 = 223252275211087
BaseRepresentation
bin10101100011010000…
…100011101010000100
32012201200012221202200
4111203100203222010
5334342332334340
614344101034500
71446301533156
oct254320435204
965650187680
1023140121220
1198a4aa4627
1245996b5a30
13224a10c728
141197364ad6
1590678c330
hex563423a84

23140121220 has 144 divisors (see below), whose sum is σ = 70701216768. Its totient is φ = 6126082560.

The previous prime is 23140121219. The next prime is 23140121227. The reversal of 23140121220 is 2212104132.

It is a happy number.

23140121220 is a `hidden beast` number, since 2 + 31 + 401 + 212 + 20 = 666.

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 = 23140121193 and 23140121202.

It is not an unprimeable number, because it can be changed into a prime (23140121227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21287517 + ... + 21288603.

It is an arithmetic number, because the mean of its divisors is an integer number (490980672).

Almost surely, 223140121220 is an apocalyptic number.

23140121220 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 23140121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35350608384).

23140121220 is an abundant number, since it is smaller than the sum of its proper divisors (47561095548).

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

23140121220 is a wasteful number, since it uses less digits than its factorization.

23140121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1845 counting only the distinct ones).

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

Adding to 23140121220 its reverse (2212104132), we get a palindrome (25352225352).

The spelling of 23140121220 in words is "twenty-three billion, one hundred forty million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 227 454 521 681 908 1042 1087 1135 1362 1563 2043 2084 2174 2270 2605 2724 3126 3261 3405 4086 4348 4540 4689 5210 5435 6252 6522 6810 7815 8172 9378 9783 10215 10420 10870 13044 13620 15630 16305 18756 19566 20430 21740 23445 31260 32610 39132 40860 46890 48915 65220 93780 97830 118267 195660 236534 246749 354801 473068 493498 566327 591335 709602 740247 986996 1064403 1132654 1182670 1233745 1419204 1480494 1698981 1774005 2128806 2220741 2265308 2365340 2467490 2831635 2960988 3397962 3548010 3701235 4257612 4441482 4934980 5096943 5322015 5663270 6795924 7096020 7402470 8494905 8882964 10193886 10644030 11103705 11326540 14804940 16989810 20387772 21288060 22207410 25484715 33979620 44414820 50969430 101938860 128556229 257112458 385668687 514224916 642781145 771337374 1157006061 1285562290 1542674748 1928343435 2314012122 2571124580 3856686870 4628024244 5785030305 7713373740 11570060610 23140121220