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22890240 = 283251987
BaseRepresentation
bin101011101010…
…0011100000000
31121001221111200
41113110130000
521324441430
62134341200
7365364252
oct127243400
947057450
1022890240
1111a1485a
1277ba800
134985b29
14307bcd2
152022460
hex15d4700

22890240 has 108 divisors (see below), whose sum is σ = 79237704. Its totient is φ = 6100992.

The previous prime is 22890181. The next prime is 22890277. The reversal of 22890240 is 4209822.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10527 + ... + 12513.

Almost surely, 222890240 is an apocalyptic number.

22890240 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 22890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39618852).

22890240 is an abundant number, since it is smaller than the sum of its proper divisors (56347464).

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

22890240 is a wasteful number, since it uses less digits than its factorization.

22890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22890240 is about 4784.3745672763. The cubic root of 22890240 is about 283.9335955306.

The spelling of 22890240 in words is "twenty-two million, eight hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 1987 2304 2880 3840 3974 5760 5961 7948 9935 11520 11922 15896 17883 19870 23844 29805 31792 35766 39740 47688 59610 63584 71532 79480 89415 95376 119220 127168 143064 158960 178830 190752 238440 254336 286128 317920 357660 381504 476880 508672 572256 635840 715320 763008 953760 1144512 1271680 1430640 1526016 1907520 2289024 2543360 2861280 3815040 4578048 5722560 7630080 11445120 22890240