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22742148 = 223111329457
BaseRepresentation
bin101011011000…
…0010010000100
31120210102100210
41112300102010
521310222043
62131235420
7364206432
oct126602204
946712323
1022742148
1111923570
127748b70
1349335c0
14303dd52
151ee3633
hex15b0484

22742148 has 96 divisors (see below), whose sum is σ = 64632960. Its totient is φ = 6128640.

The previous prime is 22742131. The next prime is 22742149. The reversal of 22742148 is 84124722.

It is not an unprimeable number, because it can be changed into a prime (22742149) 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, 49536 + ... + 49992.

It is an arithmetic number, because the mean of its divisors is an integer number (673260).

Almost surely, 222742148 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 22742148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32316480).

22742148 is an abundant number, since it is smaller than the sum of its proper divisors (41890812).

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

22742148 is a wasteful number, since it uses less digits than its factorization.

22742148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 22742148 is about 4768.8728227958. The cubic root of 22742148 is about 283.3199526168.

The spelling of 22742148 in words is "twenty-two million, seven hundred forty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 29 33 39 44 52 58 66 78 87 116 132 143 156 174 286 319 348 377 429 457 572 638 754 858 914 957 1131 1276 1371 1508 1716 1828 1914 2262 2742 3828 4147 4524 5027 5484 5941 8294 10054 11882 12441 13253 15081 16588 17823 20108 23764 24882 26506 30162 35646 39759 49764 53012 60324 65351 71292 79518 130702 145783 159036 172289 196053 261404 291566 344578 392106 437349 516867 583132 689156 784212 874698 1033734 1749396 1895179 2067468 3790358 5685537 7580716 11371074 22742148