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22157740 = 225112329151
BaseRepresentation
bin101010010000…
…1100110101100
31112200201201001
41110201212230
521133021430
62110530044
7356223553
oct124414654
945621631
1022157740
1111564490
127506924
13478a5b7
142d2ad9a
151e2a3ca
hex15219ac

22157740 has 96 divisors (see below), whose sum is σ = 55157760. Its totient is φ = 7392000.

The previous prime is 22157713. The next prime is 22157741. The reversal of 22157740 is 4775122.

It is a junction number, because it is equal to n+sod(n) for n = 22157699 and 22157708.

It is not an unprimeable number, because it can be changed into a prime (22157741) 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, 146665 + ... + 146815.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 222157740 is an apocalyptic number.

22157740 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 22157740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578880).

22157740 is an abundant number, since it is smaller than the sum of its proper divisors (33000020).

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

22157740 is a wasteful number, since it uses less digits than its factorization.

22157740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 22157740 is about 4707.2008667572. The cubic root of 22157740 is about 280.8720262579.

The spelling of 22157740 in words is "twenty-two million, one hundred fifty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 29 44 46 55 58 92 110 115 116 145 151 220 230 253 290 302 319 460 506 580 604 638 667 755 1012 1265 1276 1334 1510 1595 1661 2530 2668 3020 3190 3322 3335 3473 4379 5060 6380 6644 6670 6946 7337 8305 8758 13340 13892 14674 16610 17365 17516 21895 29348 33220 34730 36685 38203 43790 48169 69460 73370 76406 87580 96338 100717 146740 152812 191015 192676 201434 240845 382030 402868 481690 503585 764060 963380 1007170 1107887 2014340 2215774 4431548 5539435 11078870 22157740