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23221680 = 243596757
BaseRepresentation
bin101100010010…
…1010110110000
31121200210011020
41120211112300
521421043210
62145415440
7401244456
oct130452660
947623136
1023221680
1112120879
12793a580
134a70951
1431269d6
15208a770
hex16255b0

23221680 has 40 divisors (see below), whose sum is σ = 71987952. Its totient is φ = 6192384.

The previous prime is 23221669. The next prime is 23221691. The reversal of 23221680 is 8612232.

It is an interprime number because it is at equal distance from previous prime (23221669) and next prime (23221691).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23221680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48139 + ... + 48618.

Almost surely, 223221680 is an apocalyptic number.

23221680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23221680 is an abundant number, since it is smaller than the sum of its proper divisors (48766272).

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

23221680 is a wasteful number, since it uses less digits than its factorization.

23221680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96773 (or 96767 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 23221680 is about 4818.8878384955. The cubic root of 23221680 is about 285.2974426184.

It can be divided in two parts, 232 and 21680, that added together give a palindrome (21912).

The spelling of 23221680 in words is "twenty-three million, two hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 96757 193514 290271 387028 483785 580542 774056 967570 1161084 1451355 1548112 1935140 2322168 2902710 3870280 4644336 5805420 7740560 11610840 23221680