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91022112 = 2532317997
BaseRepresentation
bin1010110110011…
…10001100100000
320100021101212100
411123032030200
5141300201422
613010530400
72153450406
oct533161440
9210241770
1091022112
114741a295
1226596a00
1315b1c24c
14c135476
157ece7ac
hex56ce320

91022112 has 72 divisors (see below), whose sum is σ = 259921116. Its totient is φ = 30214656.

The previous prime is 91022089. The next prime is 91022137. The reversal of 91022112 is 21122019.

It can be written as a sum of positive squares in 2 ways, for example, as 90554256 + 467856 = 9516^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90798 + ... + 91794.

Almost surely, 291022112 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 91022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129960558).

91022112 is an abundant number, since it is smaller than the sum of its proper divisors (168899004).

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

91022112 is a wasteful number, since it uses less digits than its factorization.

91022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 91022112 is about 9540.5509274884. The cubic root of 91022112 is about 449.8305732552.

It can be divided in two parts, 9 and 1022112, that added together give a square (1022121 = 10112).

The spelling of 91022112 in words is "ninety-one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 317 634 951 997 1268 1902 1994 2536 2853 2991 3804 3988 5072 5706 5982 7608 7976 8973 10144 11412 11964 15216 15952 17946 22824 23928 30432 31904 35892 45648 47856 71784 91296 95712 143568 287136 316049 632098 948147 1264196 1896294 2528392 2844441 3792588 5056784 5688882 7585176 10113568 11377764 15170352 22755528 30340704 45511056 91022112