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22431240 = 23325134793
BaseRepresentation
bin101010110010…
…0011000001000
31120012121212200
41111210120020
521220244430
62120440200
7361443126
oct125443010
946177780
1022431240
1111730a17
127619060
134854c30
142d9c916
151e81460
hex1564608

22431240 has 96 divisors (see below), whose sum is σ = 78525720. Its totient is φ = 5520384.

The previous prime is 22431209. The next prime is 22431263. The reversal of 22431240 is 4213422.

It can be written as a sum of positive squares in 4 ways, for example, as 18096516 + 4334724 = 4254^2 + 2082^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2284 + ... + 7076.

Almost surely, 222431240 is an apocalyptic number.

22431240 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 22431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39262860).

22431240 is an abundant number, since it is smaller than the sum of its proper divisors (56094480).

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

22431240 is a wasteful number, since it uses less digits than its factorization.

22431240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22431240 is about 4736.1630039516. The cubic root of 22431240 is about 282.0229346067.

Adding to 22431240 its reverse (4213422), we get a palindrome (26644662).

The spelling of 22431240 in words is "twenty-two million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 4793 9586 14379 19172 23965 28758 38344 43137 47930 57516 62309 71895 86274 95860 115032 124618 143790 172548 186927 191720 215685 249236 287580 311545 345096 373854 431370 498472 560781 575160 623090 747708 862740 934635 1121562 1246180 1495416 1725480 1869270 2243124 2492360 2803905 3738540 4486248 5607810 7477080 11215620 22431240