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23133220 = 22511711481
BaseRepresentation
bin101100000111…
…1110000100100
31121112021210221
41120033300210
521410230340
62143454124
7400425535
oct130176044
947467727
1023133220
1112070370
1278b7344
134a3c5c6
14310268c
15206e44a
hex160fc24

23133220 has 48 divisors (see below), whose sum is σ = 53778816. Its totient is φ = 8288000.

The previous prime is 23133199. The next prime is 23133263. The reversal of 23133220 is 2233132.

It is a junction number, because it is equal to n+sod(n) for n = 23133194 and 23133203.

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 15 ways as a sum of consecutive naturals, for example, 14880 + ... + 16360.

It is an arithmetic number, because the mean of its divisors is an integer number (1120392).

Almost surely, 223133220 is an apocalyptic number.

23133220 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 23133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26889408).

23133220 is an abundant number, since it is smaller than the sum of its proper divisors (30645596).

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

23133220 is a wasteful number, since it uses less digits than its factorization.

23133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 23133220 is about 4809.7006143834. The cubic root of 23133220 is about 284.9347136801.

Adding to 23133220 its reverse (2233132), we get a palindrome (25366352).

The spelling of 23133220 in words is "twenty-three million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1481 1562 2962 3124 3905 5924 7405 7810 14810 15620 16291 29620 32582 65164 81455 105151 162910 210302 325820 420604 525755 1051510 1156661 2103020 2313322 4626644 5783305 11566610 23133220