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22195920 = 2435234021
BaseRepresentation
bin101010010101…
…0111011010000
31112202200002010
41110222323100
521140232140
62111422520
7356443065
oct124527320
945680063
1022195920
111159013a
127524a40
1347a1aa6
142d3ac6c
151e36880
hex152aed0

22195920 has 80 divisors (see below), whose sum is σ = 71816832. Its totient is φ = 5660160.

The previous prime is 22195889. The next prime is 22195981. The reversal of 22195920 is 2959122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3510 + ... + 7530.

Almost surely, 222195920 is an apocalyptic number.

22195920 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 22195920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35908416).

22195920 is an abundant number, since it is smaller than the sum of its proper divisors (49620912).

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

22195920 is a wasteful number, since it uses less digits than its factorization.

22195920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 22195920 is about 4711.2546099739. The cubic root of 22195920 is about 281.0332572095.

It can be divided in two parts, 221 and 95920, that added together give a triangular number (96141 = T438).

The spelling of 22195920 in words is "twenty-two million, one hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 4021 5520 8042 12063 16084 20105 24126 32168 40210 48252 60315 64336 80420 92483 96504 120630 160840 184966 193008 241260 277449 321680 369932 462415 482520 554898 739864 924830 965040 1109796 1387245 1479728 1849660 2219592 2774490 3699320 4439184 5548980 7398640 11097960 22195920