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22157920 = 255791753
BaseRepresentation
bin101010010000…
…1101001100000
31112200201221201
41110201221200
521133023140
62110530544
7356224231
oct124415140
945621851
1022157920
1111564634
127506a54
13478a6c5
142d2b088
151e2a49a
hex1521a60

22157920 has 48 divisors (see below), whose sum is σ = 53040960. Its totient is φ = 8745984.

The previous prime is 22157903. The next prime is 22157923. The reversal of 22157920 is 2975122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22157923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11764 + ... + 13516.

It is an arithmetic number, because the mean of its divisors is an integer number (1105020).

Almost surely, 222157920 is an apocalyptic number.

22157920 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 22157920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26520480).

22157920 is an abundant number, since it is smaller than the sum of its proper divisors (30883040).

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

22157920 is a wasteful number, since it uses less digits than its factorization.

22157920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 22157920 is about 4707.2199863614. The cubic root of 22157920 is about 280.8727868172.

The spelling of 22157920 in words is "twenty-two million, one hundred fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 1264 1580 1753 2528 3160 3506 6320 7012 8765 12640 14024 17530 28048 35060 56096 70120 138487 140240 276974 280480 553948 692435 1107896 1384870 2215792 2769740 4431584 5539480 11078960 22157920