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82238970 = 23511318039
BaseRepresentation
bin1001110011011…
…01110111111010
312201202011122210
410321231313322
5132023121340
612054355550
72016006522
oct471556772
9181664583
1082238970
11424703a0
122365bbb6
1314065518
14acca682
157347180
hex4e6ddfa

82238970 has 64 divisors (see below), whose sum is σ = 222289920. Its totient is φ = 19291200.

The previous prime is 82238969. The next prime is 82238971. The reversal of 82238970 is 7983228.

It is an interprime number because it is at equal distance from previous prime (82238969) and next prime (82238971).

It is not an unprimeable number, because it can be changed into a prime (82238971) 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, 6211 + ... + 14249.

It is an arithmetic number, because the mean of its divisors is an integer number (3473280).

Almost surely, 282238970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82238970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111144960).

82238970 is an abundant number, since it is smaller than the sum of its proper divisors (140050950).

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

82238970 is a wasteful number, since it uses less digits than its factorization.

82238970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8091.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 82238970 is about 9068.5704496354. The cubic root of 82238970 is about 434.8697720884.

The spelling of 82238970 in words is "eighty-two million, two hundred thirty-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1705 2046 3410 5115 8039 10230 16078 24117 40195 48234 80390 88429 120585 176858 241170 249209 265287 442145 498418 530574 747627 884290 1246045 1326435 1495254 2492090 2652870 2741299 3738135 5482598 7476270 8223897 13706495 16447794 27412990 41119485 82238970