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55220352 = 2731117769
BaseRepresentation
bin1101001010100…
…1100010000000
310211220111002020
43102221202000
5103114022402
65251321440
71240236165
oct322514200
9124814066
1055220352
1129196960
12165b0280
13b595585
14749606c
154cab8bc
hex34a9880

55220352 has 128 divisors (see below), whose sum is σ = 169646400. Its totient is φ = 15728640.

The previous prime is 55220293. The next prime is 55220353. The reversal of 55220352 is 25302255.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55220353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71424 + ... + 72192.

Almost surely, 255220352 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 55220352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84823200).

55220352 is an abundant number, since it is smaller than the sum of its proper divisors (114426048).

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

55220352 is a wasteful number, since it uses less digits than its factorization.

55220352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 55220352 is about 7431.0397657394. The cubic root of 55220352 is about 380.8024409607.

It can be divided in two parts, 552203 and 52, that added together give a palindrome (552255).

The spelling of 55220352 in words is "fifty-five million, two hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 264 272 352 374 384 408 528 544 561 704 748 769 816 1056 1088 1122 1408 1496 1538 1632 2112 2176 2244 2307 2992 3076 3264 4224 4488 4614 5984 6152 6528 8459 8976 9228 11968 12304 13073 16918 17952 18456 23936 24608 25377 26146 33836 35904 36912 39219 49216 50754 52292 67672 71808 73824 78438 98432 101508 104584 135344 143803 147648 156876 203016 209168 270688 287606 295296 313752 406032 418336 431409 541376 575212 627504 812064 836672 862818 1082752 1150424 1255008 1624128 1673344 1725636 2300848 2510016 3248256 3451272 4601696 5020032 6902544 9203392 13805088 18406784 27610176 55220352