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22027680 = 253355099
BaseRepresentation
bin101010000000…
…1110110100000
31112110010022000
41110001312200
521114341210
62104044000
7355142433
oct124016640
945403260
1022027680
11114857a4
127463600
13474333c
142cd581a
151e01ac0
hex1501da0

22027680 has 96 divisors (see below), whose sum is σ = 77112000. Its totient is φ = 5872896.

The previous prime is 22027673. The next prime is 22027711. The reversal of 22027680 is 8672022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1771 + ... + 6869.

It is an arithmetic number, because the mean of its divisors is an integer number (803250).

Almost surely, 222027680 is an apocalyptic number.

22027680 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 22027680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38556000).

22027680 is an abundant number, since it is smaller than the sum of its proper divisors (55084320).

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

22027680 is a wasteful number, since it uses less digits than its factorization.

22027680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 22027680 is about 4693.3655301926. The cubic root of 22027680 is about 280.3213996459.

The spelling of 22027680 in words is "twenty-two million, twenty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 5099 10198 15297 20396 25495 30594 40792 45891 50990 61188 76485 81584 91782 101980 122376 137673 152970 163168 183564 203960 229455 244752 275346 305940 367128 407920 458910 489504 550692 611880 688365 734256 815840 917820 1101384 1223760 1376730 1468512 1835640 2202768 2447520 2753460 3671280 4405536 5506920 7342560 11013840 22027680