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232200000000 = 29335843
BaseRepresentation
bin1101100001000000110…
…0101101001000000000
3211012100102021011112000
43120100030231020000
512301021200000000
6254400551504000
722530063302013
oct3302014551000
9735312234460
10232200000000
118a525934851
1239003388000
1318b86415907
14b34a7a737a
1560902ba000
hex361032d200

232200000000 has 720 divisors, whose sum is σ = 879140174880. Its totient is φ = 60480000000.

The previous prime is 232199999987. The next prime is 232200000013. The reversal of 232200000000 is 2232.

It is an interprime number because it is at equal distance from previous prime (232199999987) and next prime (232200000013).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5399999979 + ... + 5400000021.

Almost surely, 2232200000000 is an apocalyptic number.

232200000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439570087440).

232200000000 is an abundant number, since it is smaller than the sum of its proper divisors (646940174880).

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

232200000000 is an frugal number, since it uses more digits than its factorization.

232200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 232200000000 its reverse (2232), we get a palindrome (232200002232).

The spelling of 232200000000 in words is "two hundred thirty-two billion, two hundred million", and thus it is an aban number.