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22742940 = 223511172027
BaseRepresentation
bin101011011000…
…0011110011100
31120210110110010
41112300132130
521310233230
62131243220
7364211643
oct126603634
946713403
1022742940
1111924120
127749510
134933a7c
14304035a
151ee39b0
hex15b079c

22742940 has 96 divisors (see below), whose sum is σ = 73592064. Its totient is φ = 5186560.

The previous prime is 22742921. The next prime is 22742969. The reversal of 22742940 is 4924722.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22742898 and 22742907.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10207 + ... + 12233.

It is an arithmetic number, because the mean of its divisors is an integer number (766584).

Almost surely, 222742940 is an apocalyptic number.

22742940 is a gapful number since it is divisible by the number (20) 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 22742940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36796032).

22742940 is an abundant number, since it is smaller than the sum of its proper divisors (50849124).

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

22742940 is a wasteful number, since it uses less digits than its factorization.

22742940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 22742940 is about 4768.9558605632. The cubic root of 22742940 is about 283.3232414706.

The spelling of 22742940 in words is "twenty-two million, seven hundred forty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2027 2244 2805 3740 4054 5610 6081 8108 10135 11220 12162 20270 22297 24324 30405 34459 40540 44594 60810 66891 68918 89188 103377 111485 121620 133782 137836 172295 206754 222970 267564 334455 344590 379049 413508 445940 516885 668910 689180 758098 1033770 1137147 1337820 1516196 1895245 2067540 2274294 3790490 4548588 5685735 7580980 11371470 22742940