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232012212000 = 2535319334351
BaseRepresentation
bin1101100000010100000…
…0010110011100100000
3211011212022220112210220
43120011000112130200
512300130111241000
6254330202523040
722522323156102
oct3300500263440
9734768815726
10232012212000
118a439932958
1238b70506480
1318b56545c5a
14b32d883572
15607da741a0
hex3605016720

232012212000 has 96 divisors (see below), whose sum is σ = 760072045824. Its totient is φ = 61869920000.

The previous prime is 232012211923. The next prime is 232012212037. The reversal of 232012212000 is 212210232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9655176 + ... + 9679175.

It is an arithmetic number, because the mean of its divisors is an integer number (7917417144).

Almost surely, 2232012212000 is an apocalyptic number.

232012212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232012212000 is an abundant number, since it is smaller than the sum of its proper divisors (528059833824).

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

232012212000 is a wasteful number, since it uses less digits than its factorization.

232012212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19334379 (or 19334361 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 232012212000 its reverse (212210232), we get a palindrome (232224422232).

The spelling of 232012212000 in words is "two hundred thirty-two billion, twelve million, two hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 19334351 38668702 58003053 77337404 96671755 116006106 154674808 193343510 232012212 290015265 309349616 386687020 464024424 483358775 580030530 618699232 773374040 928048848 966717550 1160061060 1450076325 1546748080 1856097696 1933435100 2320122120 2416793875 2900152650 3093496160 3866870200 4640244240 4833587750 5800305300 7250381625 7733740400 9280488480 9667175500 11600610600 14500763250 15467480800 19334351000 23201221200 29001526500 38668702000 46402442400 58003053000 77337404000 116006106000 232012212000