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88232229120 = 283575361933
BaseRepresentation
bin101001000101100001…
…1001111100100000000
322102202001111122100210
41102023003033210000
52421144422312440
6104311110514120
76242322400410
oct1221303174400
9272661448323
1088232229120
113446787a722
1215124965940
1384218079c9
1443b0214640
15246608ca80
hex148b0cf900

88232229120 has 288 divisors, whose sum is σ = 328129304832. Its totient is φ = 19786530816.

The previous prime is 88232229103. The next prime is 88232229121. The reversal of 88232229120 is 2192223288.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (88232229121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1393674 + ... + 1455606.

It is an arithmetic number, because the mean of its divisors is an integer number (1139337864).

Almost surely, 288232229120 is an apocalyptic number.

88232229120 is a gapful number since it is divisible by the number (80) 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 88232229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164064652416).

88232229120 is an abundant number, since it is smaller than the sum of its proper divisors (239897075712).

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

88232229120 is a wasteful number, since it uses less digits than its factorization.

88232229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62017 (or 62003 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 88232229120 in words is "eighty-eight billion, two hundred thirty-two million, two hundred twenty-nine thousand, one hundred twenty".