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22523040 = 2532515641
BaseRepresentation
bin101010111101…
…0110010100000
31120101021210200
41111322302200
521231214130
62122425200
7362304561
oct125726240
946337720
1022523040
1111793991
127662200
134887957
142dc4168
151e9d760
hex157aca0

22523040 has 72 divisors (see below), whose sum is σ = 76864788. Its totient is φ = 6005760.

The previous prime is 22523029. The next prime is 22523051. The reversal of 22523040 is 4032522.

It is an interprime number because it is at equal distance from previous prime (22523029) and next prime (22523051).

It can be written as a sum of positive squares in 2 ways, for example, as 20684304 + 1838736 = 4548^2 + 1356^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 12.

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, 6381 + ... + 9260.

Almost surely, 222523040 is an apocalyptic number.

22523040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22523040 is an abundant number, since it is smaller than the sum of its proper divisors (54341748).

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

22523040 is a wasteful number, since it uses less digits than its factorization.

22523040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15662 (or 15651 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22523040 is about 4745.8444980846. The cubic root of 22523040 is about 282.4071378808.

Adding to 22523040 its reverse (4032522), we get a palindrome (26555562).

The spelling of 22523040 in words is "twenty-two million, five hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 15641 31282 46923 62564 78205 93846 125128 140769 156410 187692 234615 250256 281538 312820 375384 469230 500512 563076 625640 703845 750768 938460 1126152 1251280 1407690 1501536 1876920 2252304 2502560 2815380 3753840 4504608 5630760 7507680 11261520 22523040