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232012321040 = 24514549199337
BaseRepresentation
bin1101100000010100000…
…0110001000100010000
3211011212100010002101102
43120011000301010100
512300130123233130
6254330205123532
722522324122023
oct3300500610420
9734770102342
10232012321040
118a4399a7875
1238b705595a8
1318b56583786
14b32d8b11ba
15607da96645
hex3605031110

232012321040 has 40 divisors (see below), whose sum is σ = 539468429400. Its totient is φ = 92798084096.

The previous prime is 232012321031. The next prime is 232012321049. The reversal of 232012321040 is 40123210232.

It is an interprime number because it is at equal distance from previous prime (232012321031) and next prime (232012321049).

It can be written as a sum of positive squares in 4 ways, for example, as 26012528656 + 205999792384 = 161284^2 + 453872^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2320123210402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (232012321049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1064252 + ... + 1263588.

It is an arithmetic number, because the mean of its divisors is an integer number (13486710735).

Almost surely, 2232012321040 is an apocalyptic number.

232012321040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232012321040 is an abundant number, since it is smaller than the sum of its proper divisors (307456108360).

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

232012321040 is a wasteful number, since it uses less digits than its factorization.

232012321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213899 (or 213893 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 232012321040 its reverse (40123210232), we get a palindrome (272135531272).

The spelling of 232012321040 in words is "two hundred thirty-two billion, twelve million, three hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 14549 29098 58196 72745 116392 145490 199337 232784 290980 398674 581960 797348 996685 1163920 1594696 1993370 3189392 3986740 7973480 15946960 2900154013 5800308026 11600616052 14500770065 23201232104 29001540130 46402464208 58003080260 116006160520 232012321040