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97822144 = 267673259
BaseRepresentation
bin1011101010010…
…10010111000000
320211001212202101
411311022113000
5200020302034
613412400144
72265321520
oct565122700
9224055671
1097822144
1150244252
1228916054
1317360434
14cdc5680
1588c4514
hex5d4a5c0

97822144 has 56 divisors (see below), whose sum is σ = 225226880. Its totient is φ = 41285376.

The previous prime is 97822139. The next prime is 97822157. The reversal of 97822144 is 44122879.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28387 + ... + 31645.

Almost surely, 297822144 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 97822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112613440).

97822144 is an abundant number, since it is smaller than the sum of its proper divisors (127404736).

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

97822144 is a wasteful number, since it uses less digits than its factorization.

97822144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345 (or 3335 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 97822144 is about 9890.5077726070. The cubic root of 97822144 is about 460.7645508674.

The spelling of 97822144 in words is "ninety-seven million, eight hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 67 112 134 224 268 448 469 536 938 1072 1876 2144 3259 3752 4288 6518 7504 13036 15008 22813 26072 30016 45626 52144 91252 104288 182504 208576 218353 365008 436706 730016 873412 1460032 1528471 1746824 3056942 3493648 6113884 6987296 12227768 13974592 24455536 48911072 97822144