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232034001400 = 23525443213149
BaseRepresentation
bin1101100000011001001…
…1011110000111111000
3211011220211220120020201
43120012103132013320
512300201201021100
6254332301531544
722523006320045
oct3300623360770
9734824816221
10232034001400
118a450165623
1238b77873bb4
1318b5ac049a6
14b3327161cc
15608092a36a
hex36064de1f8

232034001400 has 48 divisors (see below), whose sum is σ = 539580699000. Its totient is φ = 92796113280.

The previous prime is 232034001377. The next prime is 232034001469. The reversal of 232034001400 is 4100430232.

232034001400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 982026 + ... + 1195174.

Almost surely, 2232034001400 is an apocalyptic number.

232034001400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232034001400 is an abundant number, since it is smaller than the sum of its proper divisors (307546697600).

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

232034001400 is a wasteful number, since it uses less digits than its factorization.

232034001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218608 (or 218599 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 232034001400 its reverse (4100430232), we get a palindrome (236134431632).

The spelling of 232034001400 in words is "two hundred thirty-two billion, thirty-four million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5443 10886 21772 27215 43544 54430 108860 136075 213149 217720 272150 426298 544300 852596 1065745 1088600 1705192 2131490 4262980 5328725 8525960 10657450 21314900 42629800 1160170007 2320340014 4640680028 5800850035 9281360056 11601700070 23203400140 29004250175 46406800280 58008500350 116017000700 232034001400