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23232400401 = 373175747143
BaseRepresentation
bin10101101000110000…
…100100110000010001
32012222002212020000010
4111220300210300101
5340034443303101
614401154545133
71451502100530
oct255060446021
965862766003
1023232400401
1199420a2311
1246045981a9
13226327bbb2
1411a5706317
1590e9192d6
hex568c24c11

23232400401 has 32 divisors (see below), whose sum is σ = 36592795648. Its totient is φ = 12830166720.

The previous prime is 23232400391. The next prime is 23232400421. The reversal of 23232400401 is 10400423232.

It is not a de Polignac number, because 23232400401 - 217 = 23232269329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23232400421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469236 + ... + 516378.

It is an arithmetic number, because the mean of its divisors is an integer number (1143524864).

Almost surely, 223232400401 is an apocalyptic number.

23232400401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23232400401 is a deficient number, since it is larger than the sum of its proper divisors (13360395247).

23232400401 is a wasteful number, since it uses less digits than its factorization.

23232400401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47941.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 23232400401 its reverse (10400423232), we get a palindrome (33632823633).

The spelling of 23232400401 in words is "twenty-three billion, two hundred thirty-two million, four hundred thousand, four hundred one".

Divisors: 1 3 7 21 31 93 217 651 757 2271 5299 15897 23467 47143 70401 141429 164269 330001 492807 990003 1461433 4384299 10230031 30690093 35687251 107061753 249810757 749432271 1106304781 3318914343 7744133467 23232400401