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22056540 = 223511231453
BaseRepresentation
bin101010000100…
…0111001011100
31112111120212220
41110020321130
521121302130
62104425340
7355322532
oct124107134
945446786
1022056540
11114a5450
127478250
13475350c
142d02152
151e0a410
hex1508e5c

22056540 has 96 divisors (see below), whose sum is σ = 70350336. Its totient is φ = 5111040.

The previous prime is 22056521. The next prime is 22056547. The reversal of 22056540 is 4565022.

It is a self number, because there is not a number n which added to its sum of digits gives 22056540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22056547) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14454 + ... + 15906.

It is an arithmetic number, because the mean of its divisors is an integer number (732816).

Almost surely, 222056540 is an apocalyptic number.

22056540 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 22056540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35175168).

22056540 is an abundant number, since it is smaller than the sum of its proper divisors (48293796).

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

22056540 is a wasteful number, since it uses less digits than its factorization.

22056540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 22056540 is about 4696.4390765771. The cubic root of 22056540 is about 280.4437690925.

The spelling of 22056540 in words is "twenty-two million, fifty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1453 1518 2530 2906 3036 3795 4359 5060 5812 7265 7590 8718 14530 15180 15983 17436 21795 29060 31966 33419 43590 47949 63932 66838 79915 87180 95898 100257 133676 159830 167095 191796 200514 239745 319660 334190 367609 401028 479490 501285 668380 735218 958980 1002570 1102827 1470436 1838045 2005140 2205654 3676090 4411308 5514135 7352180 11028270 22056540