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22152120 = 2335367503
BaseRepresentation
bin101010010000…
…0001110111000
31112200102222220
41110200032320
521132331440
62110444040
7356201304
oct124401670
945612886
1022152120
1111560241
127503620
134787b83
142d28d04
151e288d0
hex15203b8

22152120 has 64 divisors (see below), whose sum is σ = 66769920. Its totient is φ = 5879424.

The previous prime is 22152113. The next prime is 22152121. The reversal of 22152120 is 2125122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22152120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22152121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43789 + ... + 44291.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 222152120 is an apocalyptic number.

22152120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22152120 is an abundant number, since it is smaller than the sum of its proper divisors (44617800).

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

22152120 is a wasteful number, since it uses less digits than its factorization.

22152120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 22152120 is about 4706.6038711581. The cubic root of 22152120 is about 280.8482778332.

Adding to 22152120 its reverse (2125122), we get a palindrome (24277242).

The spelling of 22152120 in words is "twenty-two million, one hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 367 503 734 1006 1101 1468 1509 1835 2012 2202 2515 2936 3018 3670 4024 4404 5030 5505 6036 7340 7545 8808 10060 11010 12072 14680 15090 20120 22020 30180 44040 60360 184601 369202 553803 738404 923005 1107606 1476808 1846010 2215212 2769015 3692020 4430424 5538030 7384040 11076060 22152120