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22940148 = 22371123761
BaseRepresentation
bin101011110000…
…0100111110100
31121011110222010
41113200213310
521333041043
62135404220
7365662620
oct127404764
947143863
1022940148
1111a49300
127823670
1349a276a
143092180
152032133
hex15e09f4

22940148 has 144 divisors (see below), whose sum is σ = 70189952. Its totient is φ = 5702400.

The previous prime is 22940147. The next prime is 22940161. The reversal of 22940148 is 84104922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22940147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376038 + ... + 376098.

Almost surely, 222940148 is an apocalyptic number.

22940148 is a gapful number since it is divisible by the number (28) 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 22940148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35094976).

22940148 is an abundant number, since it is smaller than the sum of its proper divisors (47249804).

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

22940148 is a wasteful number, since it uses less digits than its factorization.

22940148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 22940148 is about 4789.5874561386. The cubic root of 22940148 is about 284.1398009056.

The spelling of 22940148 in words is "twenty-two million, nine hundred forty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 37 42 44 61 66 74 77 84 111 121 122 132 148 154 183 222 231 242 244 259 308 363 366 407 427 444 462 484 518 671 726 732 777 814 847 854 924 1036 1221 1281 1342 1452 1554 1628 1694 1708 2013 2257 2442 2541 2562 2684 2849 3108 3388 4026 4477 4514 4697 4884 5082 5124 5698 6771 7381 8052 8547 8954 9028 9394 10164 11396 13431 13542 14091 14762 15799 17094 17908 18788 22143 24827 26862 27084 28182 29524 31339 31598 34188 44286 47397 49654 51667 53724 56364 62678 63196 74481 88572 94017 94794 99308 103334 125356 148962 155001 173789 188034 189588 206668 273097 297924 310002 347578 376068 521367 546194 620004 695156 819291 1042734 1092388 1638582 1911679 2085468 3277164 3823358 5735037 7646716 11470074 22940148