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22875240 = 23351979127
BaseRepresentation
bin101011101000…
…0110001101000
31121001011221010
41113100301220
521324001430
62134143520
7365302443
oct127206150
947034833
1022875240
1111a04563
1277b1ba0
13497c05b
14307665a
15201ccb0
hex15d0c68

22875240 has 128 divisors (see below), whose sum is σ = 73728000. Its totient is φ = 5660928.

The previous prime is 22875239. The next prime is 22875247. The reversal of 22875240 is 4257822.

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 = 22875198 and 22875207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22875247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180057 + ... + 180183.

It is an arithmetic number, because the mean of its divisors is an integer number (576000).

Almost surely, 222875240 is an apocalyptic number.

22875240 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 22875240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36864000).

22875240 is an abundant number, since it is smaller than the sum of its proper divisors (50852760).

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

22875240 is a wasteful number, since it uses less digits than its factorization.

22875240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 22875240 is about 4782.8067073634. The cubic root of 22875240 is about 283.8715613102.

The spelling of 22875240 in words is "twenty-two million, eight hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 79 95 114 120 127 152 158 190 228 237 254 285 316 380 381 395 456 474 508 570 632 635 760 762 790 948 1016 1140 1185 1270 1501 1524 1580 1896 1905 2280 2370 2413 2540 3002 3048 3160 3810 4503 4740 4826 5080 6004 7239 7505 7620 9006 9480 9652 10033 12008 12065 14478 15010 15240 18012 19304 20066 22515 24130 28956 30020 30099 36024 36195 40132 45030 48260 50165 57912 60040 60198 72390 80264 90060 96520 100330 120396 144780 150495 180120 190627 200660 240792 289560 300990 381254 401320 571881 601980 762508 953135 1143762 1203960 1525016 1906270 2287524 2859405 3812540 4575048 5718810 7625080 11437620 22875240