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22875468 = 223711191303
BaseRepresentation
bin101011101000…
…0110101001100
31121001012020120
41113100311030
521324003333
62134144540
7365303220
oct127206514
947035216
1022875468
1111a04750
1277b2150
13497c1a5
143076780
15201cdb3
hex15d0d4c

22875468 has 96 divisors (see below), whose sum is σ = 70103040. Its totient is φ = 5624640.

The previous prime is 22875467. The next prime is 22875473. The reversal of 22875468 is 86457822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (22875467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16905 + ... + 18207.

It is an arithmetic number, because the mean of its divisors is an integer number (730240).

Almost surely, 222875468 is an apocalyptic number.

22875468 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 22875468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35051520).

22875468 is an abundant number, since it is smaller than the sum of its proper divisors (47227572).

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

22875468 is a wasteful number, since it uses less digits than its factorization.

22875468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1345 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 22875468 is about 4782.8305426808. The cubic root of 22875468 is about 283.8725044333.

It can be divided in two parts, 228754 and 68, that added together give a palindrome (228822).

The spelling of 22875468 in words is "twenty-two million, eight hundred seventy-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1303 1463 1596 2508 2606 2926 3909 4389 5212 5852 7818 8778 9121 14333 15636 17556 18242 24757 27363 28666 36484 42999 49514 54726 57332 74271 85998 99028 100331 109452 148542 171996 173299 200662 272327 297084 300993 346598 401324 519897 544654 601986 693196 816981 1039794 1089308 1203972 1633962 1906289 2079588 3267924 3812578 5718867 7625156 11437734 22875468