Search a number
-
+
22702540 = 2257315231
BaseRepresentation
bin101011010011…
…0100111001100
31120201102000211
41112212213030
521302440130
62130332204
7363653110
oct126464714
946642024
1022702540
11118a6833
12772a064
13491b573
14302d740
151ed6a2a
hex15a69cc

22702540 has 48 divisors (see below), whose sum is σ = 56254464. Its totient is φ = 7531200.

The previous prime is 22702529. The next prime is 22702567. The reversal of 22702540 is 4520722.

22702540 = 4122 + 4132 + ... + 5162.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1725 + ... + 6955.

It is an arithmetic number, because the mean of its divisors is an integer number (1171968).

Almost surely, 222702540 is an apocalyptic number.

22702540 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 22702540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28127232).

22702540 is an abundant number, since it is smaller than the sum of its proper divisors (33551924).

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

22702540 is a wasteful number, since it uses less digits than its factorization.

22702540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 22702540 is about 4764.7182498024. The cubic root of 22702540 is about 283.1553792202.

The spelling of 22702540 in words is "twenty-two million, seven hundred two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 4340 5231 10462 20924 26155 36617 52310 73234 104620 146468 162161 183085 324322 366170 648644 732340 810805 1135127 1621610 2270254 3243220 4540508 5675635 11351270 22702540