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23768220 = 2235756591
BaseRepresentation
bin101101010101…
…0110010011100
31122201112212110
41122222302130
522041040340
62205234020
7406012050
oct132526234
948645773
1023768220
1112464463
127b62910
134c02648
143229c60
152147680
hex16aac9c

23768220 has 48 divisors (see below), whose sum is σ = 76059648. Its totient is φ = 5432640.

The previous prime is 23768219. The next prime is 23768237. The reversal of 23768220 is 2286732.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27876 + ... + 28715.

It is an arithmetic number, because the mean of its divisors is an integer number (1584576).

Almost surely, 223768220 is an apocalyptic number.

23768220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23768220 is an abundant number, since it is smaller than the sum of its proper divisors (52291428).

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

23768220 is a wasteful number, since it uses less digits than its factorization.

23768220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56610 (or 56608 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 23768220 is about 4875.2661465811. The cubic root of 23768220 is about 287.5183403549.

The spelling of 23768220 in words is "twenty-three million, seven hundred sixty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 56591 113182 169773 226364 282955 339546 396137 565910 679092 792274 848865 1131820 1188411 1584548 1697730 1980685 2376822 3395460 3961370 4753644 5942055 7922740 11884110 23768220