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57200022 = 23211319319
BaseRepresentation
bin1101101000110…
…0110110010110
310222122001200100
43122030312112
5104120400042
65401554530
71263122625
oct332146626
9128561610
1057200022
112a319250
12171a5a46
13bb09689
14784d6bc
15504d24c
hex368cd96

57200022 has 48 divisors (see below), whose sum is σ = 139576320. Its totient is φ = 16772400.

The previous prime is 57200009. The next prime is 57200023. The reversal of 57200022 is 22000275.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 57199968 and 57200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57200023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1479 + ... + 10797.

It is an arithmetic number, because the mean of its divisors is an integer number (2907840).

Almost surely, 257200022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69788160).

57200022 is an abundant number, since it is smaller than the sum of its proper divisors (82376298).

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

57200022 is a wasteful number, since it uses less digits than its factorization.

57200022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9369 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 57200022 is about 7563.0696149117. The cubic root of 57200022 is about 385.2997541875.

Adding to 57200022 its reverse (22000275), we get a palindrome (79200297).

It can be divided in two parts, 5 and 7200022, that added together give a palindrome (7200027).

The spelling of 57200022 in words is "fifty-seven million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 9319 18638 27957 55914 83871 102509 167742 205018 288889 307527 577778 615054 866667 922581 1733334 1845162 2600001 3177779 5200002 6355558 9533337 19066674 28600011 57200022