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88226496 = 26363161
BaseRepresentation
bin1010100001000…
…11101011000000
320011000101000000
411100203223000
5140041221441
612431000000
72120625051
oct520435300
9204011000
1088226496
114588a966
1225669000
1315380937
14ba08728
157b2b2b6
hex5423ac0

88226496 has 196 divisors, whose sum is σ = 275401024. Its totient is φ = 27993600.

The previous prime is 88226491. The next prime is 88226543. The reversal of 88226496 is 69462288.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (88226491) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1446306 + ... + 1446366.

Almost surely, 288226496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88226496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137700512).

88226496 is an abundant number, since it is smaller than the sum of its proper divisors (187174528).

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

88226496 is an equidigital number, since it uses as much as digits as its factorization.

88226496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 88226496 is about 9392.8960390286. The cubic root of 88226496 is about 445.1772992109.

The spelling of 88226496 in words is "eighty-eight million, two hundred twenty-six thousand, four hundred ninety-six".