Search a number
-
+
22464200 = 23521110211
BaseRepresentation
bin101010110110…
…0011011001000
31120021022002102
41111230123020
521222323300
62121252532
7361641203
oct125543310
946238072
1022464200
1111753760
127634148
134866c35
142daa93a
151e8b0d5
hex156c6c8

22464200 has 48 divisors (see below), whose sum is σ = 56982960. Its totient is φ = 8168000.

The previous prime is 22464193. The next prime is 22464227. The reversal of 22464200 is 246422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2906 + ... + 7305.

It is an arithmetic number, because the mean of its divisors is an integer number (1187145).

Almost surely, 222464200 is an apocalyptic number.

22464200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22464200 is an abundant number, since it is smaller than the sum of its proper divisors (34518760).

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

22464200 is a wasteful number, since it uses less digits than its factorization.

22464200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10238 (or 10229 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 22464200 is about 4739.6413366414. The cubic root of 22464200 is about 282.1609998939.

It can be divided in two parts, 2246 and 4200, that added together give a palindrome (6446).

The spelling of 22464200 in words is "twenty-two million, four hundred sixty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 10211 20422 40844 51055 81688 102110 112321 204220 224642 255275 408440 449284 510550 561605 898568 1021100 1123210 2042200 2246420 2808025 4492840 5616050 11232100 22464200