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57222060 = 22357413323
BaseRepresentation
bin1101101001001…
…0001110101100
310222200011220120
43122102032230
5104122101220
65402244540
71263244110
oct332221654
9128604816
1057222060
112a333865
12171b6750
13bb1670c
147857740
155054a40
hex36923ac

57222060 has 96 divisors (see below), whose sum is σ = 187633152. Its totient is φ = 12756480.

The previous prime is 57222047. The next prime is 57222073. The reversal of 57222060 is 6022275.

57222060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57222047) and next prime (57222073).

It is a self number, because there is not a number n which added to its sum of digits gives 57222060.

It is an unprimeable number.

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, 15559 + ... + 18881.

It is an arithmetic number, because the mean of its divisors is an integer number (1954512).

Almost surely, 257222060 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 57222060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93816576).

57222060 is an abundant number, since it is smaller than the sum of its proper divisors (130411092).

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

57222060 is a wasteful number, since it uses less digits than its factorization.

57222060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 57222060 is about 7564.5264227181. The cubic root of 57222060 is about 385.3492305421.

The spelling of 57222060 in words is "fifty-seven million, two hundred twenty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1435 1722 2460 2870 3323 3444 4305 5740 6646 8610 9969 13292 16615 17220 19938 23261 33230 39876 46522 49845 66460 69783 93044 99690 116305 136243 139566 199380 232610 272486 279132 348915 408729 465220 544972 681215 697830 817458 953701 1362430 1395660 1634916 1907402 2043645 2724860 2861103 3814804 4087290 4768505 5722206 8174580 9537010 11444412 14305515 19074020 28611030 57222060