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214616556 = 2232711139557
BaseRepresentation
bin11001100101011…
…00100111101100
3112221211122120100
430302230213230
5414420212211
633143551100
75214132150
oct1462544754
9487748510
10214616556
11100166660
125ba5b490
133560425b
1420709060
1513c95156
hexccac9ec

214616556 has 144 divisors (see below), whose sum is σ = 682456320. Its totient is φ = 55244160.

The previous prime is 214616537. The next prime is 214616561. The reversal of 214616556 is 655616412.

It is a super-2 number, since 2×2146165562 = 92120532218602272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 214616556.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 385030 + ... + 385586.

It is an arithmetic number, because the mean of its divisors is an integer number (4739280).

Almost surely, 2214616556 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 214616556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).

214616556 is an abundant number, since it is smaller than the sum of its proper divisors (467839764).

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

214616556 is a wasteful number, since it uses less digits than its factorization.

214616556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 719 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 214616556 is about 14649.7971317012. The cubic root of 214616556 is about 598.7162887679.

The spelling of 214616556 in words is "two hundred fourteen million, six hundred sixteen thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 139 154 198 231 252 278 308 396 417 462 556 557 693 834 924 973 1114 1251 1386 1529 1668 1671 1946 2228 2502 2772 2919 3058 3342 3892 3899 4587 5004 5013 5838 6116 6127 6684 7798 8757 9174 10026 10703 11676 11697 12254 13761 15596 17514 18348 18381 20052 21406 23394 24508 27522 32109 35028 35091 36762 42812 42889 46788 55044 55143 64218 70182 73524 77423 85778 96327 110286 128436 128667 140364 154846 171556 192654 220572 232269 257334 309692 385308 386001 464538 514668 541961 696807 772002 851653 929076 1083922 1393614 1544004 1625883 1703306 2167844 2554959 2787228 3251766 3406612 4877649 5109918 5961571 6503532 7664877 9755298 10219836 11923142 15329754 17884713 19510596 23846284 30659508 35769426 53654139 71538852 107308278 214616556