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55220616 = 23341161127
BaseRepresentation
bin1101001010100…
…1100110001000
310211220111110000
43102221212020
5103114024431
65251323000
71240240023
oct322514610
9124814400
1055220616
1129197080
12165b0460
13b595729
1474961ba
154cab9e6
hex34a9988

55220616 has 160 divisors (see below), whose sum is σ = 172846080. Its totient is φ = 16329600.

The previous prime is 55220597. The next prime is 55220617. The reversal of 55220616 is 61602255.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55220616.

It is not an unprimeable number, because it can be changed into a prime (55220617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 434745 + ... + 434871.

It is an arithmetic number, because the mean of its divisors is an integer number (1080288).

Almost surely, 255220616 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 55220616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86423040).

55220616 is an abundant number, since it is smaller than the sum of its proper divisors (117625464).

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

55220616 is a wasteful number, since it uses less digits than its factorization.

55220616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55220616 is about 7431.0575290466. The cubic root of 55220616 is about 380.8030478124.

The spelling of 55220616 in words is "fifty-five million, two hundred twenty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 61 66 72 81 88 99 108 122 127 132 162 183 198 216 244 254 264 297 324 366 381 396 488 508 549 594 648 671 732 762 792 891 1016 1098 1143 1188 1342 1397 1464 1524 1647 1782 2013 2196 2286 2376 2684 2794 3048 3294 3429 3564 4026 4191 4392 4572 4941 5368 5588 6039 6588 6858 7128 7747 8052 8382 9144 9882 10287 11176 12078 12573 13176 13716 15494 16104 16764 18117 19764 20574 23241 24156 25146 27432 30988 33528 36234 37719 39528 41148 46482 48312 50292 54351 61976 69723 72468 75438 82296 85217 92964 100584 108702 113157 139446 144936 150876 170434 185928 209169 217404 226314 255651 278892 301752 340868 418338 434808 452628 511302 557784 627507 681736 766953 836676 905256 1022604 1255014 1533906 1673352 2045208 2300859 2510028 3067812 4601718 5020056 6135624 6902577 9203436 13805154 18406872 27610308 55220616