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23014420 = 22511132619
BaseRepresentation
bin101011111001…
…0110000010100
31121022020211221
41113302300110
521342430140
62141140124
7366422302
oct127626024
947266757
1023014420
1111a9a090
12785a644
1349ca500
1430b1272
15204914a
hex15f2c14

23014420 has 72 divisors (see below), whose sum is σ = 57183840. Its totient is φ = 7712640.

The previous prime is 23014399. The next prime is 23014427. The reversal of 23014420 is 2441032.

It is a junction number, because it is equal to n+sod(n) for n = 23014394 and 23014403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23014427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36871 + ... + 37489.

It is an arithmetic number, because the mean of its divisors is an integer number (794220).

Almost surely, 223014420 is an apocalyptic number.

23014420 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 23014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28591920).

23014420 is an abundant number, since it is smaller than the sum of its proper divisors (34169420).

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

23014420 is a wasteful number, since it uses less digits than its factorization.

23014420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 23014420 is about 4797.3346766720. The cubic root of 23014420 is about 284.4461182672.

Adding to 23014420 its reverse (2441032), we get a palindrome (25455452).

It can be divided in two parts, 230 and 14420, that multiplied together give a triangular number (3316600 = T2575).

The spelling of 23014420 in words is "twenty-three million, fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 169 220 260 286 338 572 619 676 715 845 1238 1430 1690 1859 2476 2860 3095 3380 3718 6190 6809 7436 8047 9295 12380 13618 16094 18590 27236 32188 34045 37180 40235 68090 80470 88517 104611 136180 160940 177034 209222 354068 418444 442585 523055 885170 1046110 1150721 1770340 2092220 2301442 4602884 5753605 11507210 23014420