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232198696900 = 2252481872
BaseRepresentation
bin1101100001000000011…
…1101110111111000100
3211012100022210222000001
43120100013232333010
512301020331300100
6254400503531044
722530046233622
oct3302007567704
9735308728001
10232198696900
118a525124805
1239002a59a84
1318b8607a751
14b34a548512
15609010dd6a
hex36101eefc4

232198696900 has 27 divisors (see below), whose sum is σ = 503881629069. Its totient is φ = 92877551280.

The previous prime is 232198696867. The next prime is 232198696907. The reversal of 232198696900 is 9696891232.

It is a happy number.

The square root of 232198696900 is 481870.

It is a perfect power (a square), and thus also a powerful number.

232198696900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 83591530884 + 148607166016 = 289122^2 + 385496^2 .

It is a super-2 number, since 2×2321986969002 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232198696907) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 4794607 + ... + 4842793.

Almost surely, 2232198696900 is an apocalyptic number.

232198696900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

232198696900 is the 481870-th square number.

It is an amenable number.

232198696900 is an abundant number, since it is smaller than the sum of its proper divisors (271682932169).

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

232198696900 is an frugal number, since it uses more digits than its factorization.

232198696900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96388 (or 48194 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 55.

The spelling of 232198696900 in words is "two hundred thirty-two billion, one hundred ninety-eight million, six hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 48187 96374 192748 240935 481870 963740 1204675 2409350 4818700 2321986969 4643973938 9287947876 11609934845 23219869690 46439739380 58049674225 116099348450 232198696900