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54222129 = 3413217233
BaseRepresentation
bin1100111011010…
…1110100110001
310210000202210000
43032311310301
5102340102004
65214100213
71225611003
oct316656461
9123022700
1054222129
1128674985
12161aa669
13b306100
1472b6373
154b60c39
hex33b5d31

54222129 has 60 divisors (see below), whose sum is σ = 93266316. Its totient is φ = 31269888.

The previous prime is 54222089. The next prime is 54222139. The reversal of 54222129 is 92122245.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8294400 + 45927729 = 2880^2 + 6777^2 .

It is not a de Polignac number, because 54222129 - 27 = 54222001 is a prime.

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

54222129 is a Rhonda number in base 10.

Its product of digits (2880) is a multiple of the sum of its prime factors (288).

It is not an unprimeable number, because it can be changed into a prime (54222139) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 232597 + ... + 232829.

Almost surely, 254222129 is an apocalyptic number.

It is an amenable number.

54222129 is a deficient number, since it is larger than the sum of its proper divisors (39044187).

54222129 is a wasteful number, since it uses less digits than its factorization.

54222129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 266 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 54222129 is about 7363.5676814979. The cubic root of 54222129 is about 378.4938744794.

The spelling of 54222129 in words is "fifty-four million, two hundred twenty-two thousand, one hundred twenty-nine".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 169 221 233 351 459 507 663 699 1053 1377 1521 1989 2097 2873 3029 3961 4563 5967 6291 8619 9087 11883 13689 17901 18873 25857 27261 35649 39377 51493 77571 81783 106947 118131 154479 232713 245349 320841 354393 463437 669409 1063179 1390311 2008227 3189537 4170933 6024681 18074043 54222129