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88225008 = 24331211281
BaseRepresentation
bin1010100001000…
…11010011110000
320011000021221220
411100203103300
5140041200013
612430545040
72120620524
oct520432360
9204007856
1088225008
1145889833
1225668180
1315380061
14ba07d84
157b2ab23
hex54234f0

88225008 has 80 divisors (see below), whose sum is σ = 237222912. Its totient is φ = 28224000.

The previous prime is 88224991. The next prime is 88225021. The reversal of 88225008 is 80052288.

It is a self number, because there is not a number n which added to its sum of digits gives 88225008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313828 + ... + 314108.

Almost surely, 288225008 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 88225008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118611456).

88225008 is an abundant number, since it is smaller than the sum of its proper divisors (148997904).

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

88225008 is a wasteful number, since it uses less digits than its factorization.

88225008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 88225008 is about 9392.8168298972. The cubic root of 88225008 is about 445.1747964572.

The spelling of 88225008 in words is "eighty-eight million, two hundred twenty-five thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 211 248 281 372 422 496 562 633 744 843 844 1124 1266 1488 1686 1688 2248 2532 3372 3376 4496 5064 6541 6744 8711 10128 13082 13488 17422 19623 26133 26164 34844 39246 52266 52328 59291 69688 78492 104532 104656 118582 139376 156984 177873 209064 237164 313968 355746 418128 474328 711492 948656 1422984 1838021 2845968 3676042 5514063 7352084 11028126 14704168 22056252 29408336 44112504 88225008