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57222280272 = 24343127419521
BaseRepresentation
bin110101010010101101…
…101011010001010000
312110200220211000121210
4311102231223101100
51414142400432042
642142040020120
74064010233313
oct652255532120
9173626730553
1057222280272
11222a4538123
12b10b761640
13551c131251
142aab9cc97a
15174d969a9c
hexd52b6b450

57222280272 has 160 divisors (see below), whose sum is σ = 153110200320. Its totient is φ = 18404305920.

The previous prime is 57222280243. The next prime is 57222280273. The reversal of 57222280272 is 27208222275.

It is a self number, because there is not a number n which added to its sum of digits gives 57222280272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57222280273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109831372 + ... + 109831892.

It is an arithmetic number, because the mean of its divisors is an integer number (956938752).

Almost surely, 257222280272 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 57222280272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76555100160).

57222280272 is an abundant number, since it is smaller than the sum of its proper divisors (95887920048).

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

57222280272 is a wasteful number, since it uses less digits than its factorization.

57222280272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The spelling of 57222280272 in words is "fifty-seven billion, two hundred twenty-two million, two hundred eighty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 127 129 172 254 258 344 381 419 508 516 521 688 762 838 1016 1032 1042 1257 1524 1563 1676 2032 2064 2084 2514 3048 3126 3352 4168 5028 5461 6096 6252 6704 8336 10056 10922 12504 16383 18017 20112 21844 22403 25008 32766 36034 43688 44806 53213 54051 65532 66167 67209 72068 87376 89612 106426 108102 131064 132334 134418 144136 159639 179224 198501 212852 216204 218299 262128 264668 268836 288272 319278 358448 397002 425704 432408 436598 529336 537672 638556 654897 794004 851408 864816 873196 1058672 1075344 1277112 1309794 1588008 1746392 2288159 2554224 2619588 2845181 3176016 3492784 4576318 5239176 5690362 6864477 8535543 9152636 9386857 10478352 11380724 13728954 17071086 18305272 18773714 22761448 27457908 27723973 28160571 34142172 36610544 37547428 45522896 54915816 55447946 56321142 68284344 75094856 83171919 109831632 110895892 112642284 136568688 150189712 166343838 221791784 225284568 332687676 443583568 450569136 665375352 1192130839 1330750704 2384261678 3576392517 4768523356 7152785034 9537046712 14305570068 19074093424 28611140136 57222280272