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88225038 = 236115501
BaseRepresentation
bin1010100001000…
…11010100001110
320011000022000000
411100203110032
5140041200123
612430545130
72120620566
oct520432416
9204008000
1088225038
1145889860
12256681a6
1315380085
14ba07da6
157b2ab43
hex542350e

88225038 has 56 divisors (see below), whose sum is σ = 216492696. Its totient is φ = 26730000.

The previous prime is 88225021. The next prime is 88225069. The reversal of 88225038 is 83052288.

It is a junction number, because it is equal to n+sod(n) for n = 88224993 and 88225011.

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 27 ways as a sum of consecutive naturals, for example, 13288 + ... + 18788.

It is an arithmetic number, because the mean of its divisors is an integer number (3865941).

Almost surely, 288225038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88225038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108246348).

88225038 is an abundant number, since it is smaller than the sum of its proper divisors (128267658).

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

88225038 is a wasteful number, since it uses less digits than its factorization.

88225038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5532 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 88225038 is about 9392.8184268621. The cubic root of 88225038 is about 445.1748469163.

It can be divided in two parts, 882250 and 38, that added together give a palindrome (882288).

The spelling of 88225038 in words is "eighty-eight million, two hundred twenty-five thousand, thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1782 2673 5346 5501 8019 11002 16038 16503 33006 49509 60511 99018 121022 148527 181533 297054 363066 445581 544599 891162 1089198 1336743 1633797 2673486 3267594 4010229 4901391 8020458 9802782 14704173 29408346 44112519 88225038