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55221264 = 243572029
BaseRepresentation
bin1101001010100…
…1110000010000
310211220112100000
43102221300100
5103114040024
65251330000
71240241640
oct322516020
9124815300
1055221264
112919760a
12165b0900
13b595b07
147496520
154cabcc9
hex34a9c10

55221264 has 120 divisors (see below), whose sum is σ = 183252160. Its totient is φ = 15769728.

The previous prime is 55221263. The next prime is 55221269. The reversal of 55221264 is 46212255.

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

It is not an unprimeable number, because it can be changed into a prime (55221263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26202 + ... + 28230.

Almost surely, 255221264 is an apocalyptic number.

55221264 is a gapful number since it is divisible by the number (54) 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 55221264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91626080).

55221264 is an abundant number, since it is smaller than the sum of its proper divisors (128030896).

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

55221264 is a wasteful number, since it uses less digits than its factorization.

55221264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2041 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 55221264 is about 7431.1011297115. The cubic root of 55221264 is about 380.8045373491.

Subtracting from 55221264 its reverse (46212255), we obtain a palindrome (9009009).

It can be divided in two parts, 5522 and 1264, that added together give a triangular number (6786 = T116).

The spelling of 55221264 in words is "fifty-five million, two hundred twenty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2029 2268 3024 3402 3888 4058 4536 6087 6804 8116 9072 12174 13608 14203 16232 18261 24348 27216 28406 32464 36522 42609 48696 54783 56812 73044 85218 97392 109566 113624 127827 146088 164349 170436 219132 227248 255654 292176 328698 340872 383481 438264 493047 511308 657396 681744 766962 876528 986094 1022616 1150443 1314792 1533924 1972188 2045232 2300886 2629584 3067848 3451329 3944376 4601772 6135696 6902658 7888752 9203544 13805316 18407088 27610632 55221264