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22942440 = 233457397
BaseRepresentation
bin101011110000…
…1001011101000
31121011121010000
41113201023220
521333124230
62135423000
7366002403
oct127411350
947147100
1022942440
1111a4aaa4
127824a60
1349a3811
143092d3a
152032b60
hex15e12e8

22942440 has 160 divisors (see below), whose sum is σ = 78974280. Its totient is φ = 5971968.

The previous prime is 22942433. The next prime is 22942457. The reversal of 22942440 is 4424922.

It can be written as a sum of positive squares in 4 ways, for example, as 18507204 + 4435236 = 4302^2 + 2106^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 236472 + ... + 236568.

Almost surely, 222942440 is an apocalyptic number.

22942440 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 22942440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39487140).

22942440 is an abundant number, since it is smaller than the sum of its proper divisors (56031840).

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

22942440 is a wasteful number, since it uses less digits than its factorization.

22942440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 22942440 is about 4789.8267192039. The cubic root of 22942440 is about 284.1492635986.

The spelling of 22942440 in words is "twenty-two million, nine hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 73 81 90 97 108 120 135 146 162 180 194 216 219 270 291 292 324 360 365 388 405 438 485 540 582 584 648 657 730 776 810 873 876 970 1080 1095 1164 1314 1455 1460 1620 1746 1752 1940 1971 2190 2328 2619 2628 2910 2920 3240 3285 3492 3880 3942 4365 4380 5238 5256 5820 5913 6570 6984 7081 7857 7884 8730 8760 9855 10476 11640 11826 13095 13140 14162 15714 15768 17460 19710 20952 21243 23652 26190 26280 28324 29565 31428 34920 35405 39285 39420 42486 47304 52380 56648 59130 62856 63729 70810 78570 78840 84972 104760 106215 118260 127458 141620 157140 169944 191187 212430 236520 254916 283240 314280 318645 382374 424860 509832 573561 637290 764748 849720 955935 1147122 1274580 1529496 1911870 2294244 2549160 2867805 3823740 4588488 5735610 7647480 11471220 22942440