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93022146 = 23272393089
BaseRepresentation
bin1011000101101…
…10011111000010
320111001000101200
411202312133002
5142303202041
613121442030
72206450410
oct542663702
9214030350
1093022146
1148565a08
12271a0316
131636c6b9
14c4d62b0
1582771b6
hex58b67c2

93022146 has 48 divisors (see below), whose sum is σ = 231379200. Its totient is φ = 26457984.

The previous prime is 93022129. The next prime is 93022151. The reversal of 93022146 is 64122039.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28570 + ... + 31658.

It is an arithmetic number, because the mean of its divisors is an integer number (4820400).

Almost surely, 293022146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93022146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115689600).

93022146 is an abundant number, since it is smaller than the sum of its proper divisors (138357054).

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

93022146 is a wasteful number, since it uses less digits than its factorization.

93022146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 93022146 is about 9644.7989092567. The cubic root of 93022146 is about 453.1014494363.

The spelling of 93022146 in words is "ninety-three million, twenty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 239 478 717 1434 1673 2151 3089 3346 4302 5019 6178 9267 10038 15057 18534 21623 27801 30114 43246 55602 64869 129738 194607 389214 738271 1476542 2214813 4429626 5167897 6644439 10335794 13288878 15503691 31007382 46511073 93022146