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88222464 = 283211592
BaseRepresentation
bin1010100001000…
…10101100000000
320011000011110200
411100202230000
5140041104324
612430525200
72120610231
oct520425400
9204004420
1088222464
1145887930
1225666800
131537bb55
14ba07088
157b29ec9
hex5422b00

88222464 has 162 divisors, whose sum is σ = 282274356. Its totient is φ = 26280960.

The previous prime is 88222439. The next prime is 88222481. The reversal of 88222464 is 46422288.

It is a happy number.

It is a super-5 number, since 5×882224645 (a number of 41 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1495267 + ... + 1495325.

Almost surely, 288222464 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 88222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141137178).

88222464 is an abundant number, since it is smaller than the sum of its proper divisors (194051892).

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

88222464 is a wasteful number, since it uses less digits than its factorization.

88222464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 75 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 88222464 is about 9392.6814062865. The cubic root of 88222464 is about 445.1705174907.

It can be divided in two parts, 882224 and 64, that added together give a palindrome (882288).

The spelling of 88222464 in words is "eighty-eight million, two hundred twenty-two thousand, four hundred sixty-four".