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57222072 = 23331973191
BaseRepresentation
bin1101101001001…
…0001110111000
310222200011221000
43122102032320
5104122101242
65402245000
71263244125
oct332221670
9128604830
1057222072
112a333876
12171b6760
13bb1671b
14785774c
155054a4c
hex36923b8

57222072 has 128 divisors (see below), whose sum is σ = 170496000. Its totient is φ = 17729280.

The previous prime is 57222047. The next prime is 57222073. The reversal of 57222072 is 27022275.

It is a happy number.

57222072 is a `hidden beast` number, since 572 + 2 + 20 + 72 = 666.

57222072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×572220723 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57222073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299497 + ... + 299687.

It is an arithmetic number, because the mean of its divisors is an integer number (1332000).

Almost surely, 257222072 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 57222072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85248000).

57222072 is an abundant number, since it is smaller than the sum of its proper divisors (113273928).

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

57222072 is a wasteful number, since it uses less digits than its factorization.

57222072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 57222072 is about 7564.5272158939. The cubic root of 57222072 is about 385.3492574793.

The spelling of 57222072 in words is "fifty-seven million, two hundred twenty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 73 76 108 114 146 152 171 191 216 219 228 292 342 382 438 456 513 573 584 657 684 764 876 1026 1146 1314 1368 1387 1528 1719 1752 1971 2052 2292 2628 2774 3438 3629 3942 4104 4161 4584 5157 5256 5548 6876 7258 7884 8322 10314 10887 11096 12483 13752 13943 14516 15768 16644 20628 21774 24966 27886 29032 32661 33288 37449 41256 41829 43548 49932 55772 65322 74898 83658 87096 97983 99864 111544 125487 130644 149796 167316 195966 250974 261288 264917 299592 334632 376461 391932 501948 529834 752922 783864 794751 1003896 1059668 1505844 1589502 2119336 2384253 3011688 3179004 4768506 6358008 7152759 9537012 14305518 19074024 28611036 57222072