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22533420 = 22357134127
BaseRepresentation
bin101010111110…
…1010100101100
31120101211001010
41111331110230
521232032140
62122545220
7362350050
oct125752454
946354033
1022533420
11117a0768
127668210
13488c5b0
142dc7c60
151ea1880
hex157d52c

22533420 has 96 divisors (see below), whose sum is σ = 77672448. Its totient is φ = 4753152.

The previous prime is 22533397. The next prime is 22533437. The reversal of 22533420 is 2433522.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3397 + ... + 7523.

It is an arithmetic number, because the mean of its divisors is an integer number (809088).

Almost surely, 222533420 is an apocalyptic number.

22533420 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 22533420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38836224).

22533420 is an abundant number, since it is smaller than the sum of its proper divisors (55139028).

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

22533420 is a wasteful number, since it uses less digits than its factorization.

22533420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4159 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 22533420 is about 4746.9379604120. The cubic root of 22533420 is about 282.4505147353.

Adding to 22533420 its reverse (2433522), we get a palindrome (24966942).

The spelling of 22533420 in words is "twenty-two million, five hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 4127 5460 8254 12381 16508 20635 24762 28889 41270 49524 53651 57778 61905 82540 86667 107302 115556 123810 144445 160953 173334 214604 247620 268255 288890 321906 346668 375557 433335 536510 577780 643812 751114 804765 866670 1073020 1126671 1502228 1609530 1733340 1877785 2253342 3219060 3755570 4506684 5633355 7511140 11266710 22533420