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54220936 = 23711234389
BaseRepresentation
bin1100111011010…
…1100010001000
310210000201010211
43032311202020
5102340032221
65214050504
71225604350
oct316654210
9123021124
1054220936
1128673aa0
12161a9a34
13b3056c3
1472b5b60
154b606e1
hex33b5888

54220936 has 128 divisors (see below), whose sum is σ = 136857600. Its totient is φ = 19514880.

The previous prime is 54220931. The next prime is 54220937. The reversal of 54220936 is 63902245.

It is a junction number, because it is equal to n+sod(n) for n = 54220898 and 54220907.

It is not an unprimeable number, because it can be changed into a prime (54220931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609180 + ... + 609268.

It is an arithmetic number, because the mean of its divisors is an integer number (1069200).

Almost surely, 254220936 is an apocalyptic number.

54220936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54220936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68428800).

54220936 is an abundant number, since it is smaller than the sum of its proper divisors (82636664).

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

54220936 is a wasteful number, since it uses less digits than its factorization.

54220936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 54220936 is about 7363.4866741239. The cubic root of 54220936 is about 378.4910985740.

It can be divided in two parts, 542209 and 36, that added together give a palindrome (542245).

The spelling of 54220936 in words is "fifty-four million, two hundred twenty thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 22 23 28 43 44 46 56 77 86 88 89 92 154 161 172 178 184 253 301 308 322 344 356 473 506 602 616 623 644 712 946 979 989 1012 1204 1246 1288 1771 1892 1958 1978 2024 2047 2408 2492 3311 3542 3784 3827 3916 3956 4094 4984 6622 6853 6923 7084 7654 7832 7912 8188 10879 13244 13706 13846 14168 14329 15308 16376 21758 22517 26488 26789 27412 27692 28658 30616 42097 43516 45034 53578 54824 55384 57316 76153 84194 87032 88021 90068 107156 114632 152306 157619 168388 176042 180136 214312 294679 304612 315238 336776 352084 589358 609224 616147 630476 704168 968231 1178716 1232294 1260952 1936462 2357432 2464588 3872924 4929176 6777617 7745848 13555234 27110468 54220936