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152140220232 = 2337112132325031
BaseRepresentation
bin1000110110110001000…
…0111000011101001000
3112112200220122222002120
42031230100320131020
54443040344021412
6153520420531240
713664114351250
oct2155420703510
9475626588076
10152140220232
1159582208300
122559b550b20
1311467ab0170
147513b0a960
153e5693db8c
hex236c438748

152140220232 has 384 divisors, whose sum is σ = 536942407680. Its totient is φ = 34889817600.

The previous prime is 152140220207. The next prime is 152140220299. The reversal of 152140220232 is 232022041251.

It is a super-2 number, since 2×1521402202322 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6065557 + ... + 6090587.

It is an arithmetic number, because the mean of its divisors is an integer number (1398287520).

Almost surely, 2152140220232 is an apocalyptic number.

152140220232 is a gapful number since it is divisible by the number (12) 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 152140220232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268471203840).

152140220232 is an abundant number, since it is smaller than the sum of its proper divisors (384802187448).

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

152140220232 is a wasteful number, since it uses less digits than its factorization.

152140220232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25105 (or 25090 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 152140220232 its reverse (232022041251), we get a palindrome (384162261483).

The spelling of 152140220232 in words is "one hundred fifty-two billion, one hundred forty million, two hundred twenty thousand, two hundred thirty-two".