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22530040 = 23513371171
BaseRepresentation
bin101010111110…
…0011111111000
31120101122101221
41111330133320
521231430130
62122521424
7362334151
oct125743770
946348357
1022530040
1111799175
127666274
13488abb0
142dc6928
151ea087a
hex157c7f8

22530040 has 64 divisors (see below), whose sum is σ = 56115360. Its totient is φ = 8087040.

The previous prime is 22530037. The next prime is 22530073. The reversal of 22530040 is 4003522.

It is a junction number, because it is equal to n+sod(n) for n = 22529996 and 22530023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18655 + ... + 19825.

Almost surely, 222530040 is an apocalyptic number.

22530040 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 22530040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28057680).

22530040 is an abundant number, since it is smaller than the sum of its proper divisors (33585320).

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

22530040 is a wasteful number, since it uses less digits than its factorization.

22530040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 22530040 is about 4746.5819280826. The cubic root of 22530040 is about 282.4363915577.

Adding to 22530040 its reverse (4003522), we get a palindrome (26533562).

The spelling of 22530040 in words is "twenty-two million, five hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 740 962 1171 1480 1924 2342 2405 3848 4684 4810 5855 9368 9620 11710 15223 19240 23420 30446 43327 46840 60892 76115 86654 121784 152230 173308 216635 304460 346616 433270 563251 608920 866540 1126502 1733080 2253004 2816255 4506008 5632510 11265020 22530040