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232132243200 = 283521113591433
BaseRepresentation
bin1101100000110000101…
…0001110111100000000
3211012011200202202122220
43120030022032330000
512300401323240300
6254350131331040
722525311340224
oct3301412167400
9735150682586
10232132243200
118a4a06660a0
1238ba4750a80
1318b75381130
14b3417aa784
156089383da0
hex360c28ef00

232132243200 has 864 divisors, whose sum is σ = 915908878080. Its totient is φ = 51029606400.

The previous prime is 232132243199. The next prime is 232132243201. The reversal of 232132243200 is 2342231232.

It is an interprime number because it is at equal distance from previous prime (232132243199) and next prime (232132243201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232132243201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161989684 + ... + 161991116.

It is an arithmetic number, because the mean of its divisors is an integer number (1060079720).

Almost surely, 2232132243200 is an apocalyptic number.

232132243200 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 232132243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457954439040).

232132243200 is an abundant number, since it is smaller than the sum of its proper divisors (683776634880).

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

232132243200 is a wasteful number, since it uses less digits than its factorization.

232132243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 232132243200 its reverse (2342231232), we get a palindrome (234474474432).

The spelling of 232132243200 in words is "two hundred thirty-two billion, one hundred thirty-two million, two hundred forty-three thousand, two hundred".