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232023100032 = 2732201408941
BaseRepresentation
bin1101100000010110100…
…1111000101010000000
3211011220002101201101100
43120011221320222000
512300140403200112
6254331232134400
722522514544453
oct3300551705200
9734802351340
10232023100032
118a444a9a229
1238b74097400
1318b58888a89
14b3310b949a
15607e9c52dc
hex3605a78a80

232023100032 has 48 divisors (see below), whose sum is σ = 667670642730. Its totient is φ = 77341032960.

The previous prime is 232023100027. The next prime is 232023100039. The reversal of 232023100032 is 230001320232.

It is a happy number.

232023100032 is a `hidden beast` number, since 2 + 320 + 2 + 310 + 0 + 0 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 226979827776 + 5043272256 = 476424^2 + 71016^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 = 232023099978 and 232023100014.

It is not an unprimeable number, because it can be changed into a prime (232023100039) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100703319 + ... + 100705622.

Almost surely, 2232023100032 is an apocalyptic number.

It is an amenable number.

232023100032 is an abundant number, since it is smaller than the sum of its proper divisors (435647542698).

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

232023100032 is a wasteful number, since it uses less digits than its factorization.

232023100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201408961 (or 201408946 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 232023100032 its reverse (230001320232), we get a palindrome (462024420264).

The spelling of 232023100032 in words is "two hundred thirty-two billion, twenty-three million, one hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 201408941 402817882 604226823 805635764 1208453646 1611271528 1812680469 2416907292 3222543056 3625360938 4833814584 6445086112 7250721876 9667629168 12890172224 14501443752 19335258336 25780344448 29002887504 38670516672 58005775008 77341033344 116011550016 232023100032