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22093920 = 2532567229
BaseRepresentation
bin101010001001…
…0000001100000
31112120111011100
41110102001200
521124001140
62105314400
7355536522
oct124220140
945514140
1022093920
1111520542
127495a00
134767534
142d11a12
151e16530
hex1512060

22093920 has 144 divisors (see below), whose sum is σ = 76854960. Its totient is φ = 5778432.

The previous prime is 22093913. The next prime is 22093927. The reversal of 22093920 is 2939022.

It is an interprime number because it is at equal distance from previous prime (22093913) and next prime (22093927).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22093927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96366 + ... + 96594.

It is an arithmetic number, because the mean of its divisors is an integer number (533715).

Almost surely, 222093920 is an apocalyptic number.

22093920 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 22093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38427480).

22093920 is an abundant number, since it is smaller than the sum of its proper divisors (54761040).

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

22093920 is a wasteful number, since it uses less digits than its factorization.

22093920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 22093920 is about 4700.4170027775. The cubic root of 22093920 is about 280.6021056780.

The spelling of 22093920 in words is "twenty-two million, ninety-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 67 72 80 90 96 120 134 144 160 180 201 229 240 268 288 335 360 402 458 480 536 603 670 687 720 804 916 1005 1072 1145 1206 1340 1374 1440 1608 1832 2010 2061 2144 2290 2412 2680 2748 3015 3216 3435 3664 4020 4122 4580 4824 5360 5496 6030 6432 6870 7328 8040 8244 9160 9648 10305 10720 10992 12060 13740 15343 16080 16488 18320 19296 20610 21984 24120 27480 30686 32160 32976 36640 41220 46029 48240 54960 61372 65952 76715 82440 92058 96480 109920 122744 138087 153430 164880 184116 230145 245488 276174 306860 329760 368232 460290 490976 552348 613720 690435 736464 920580 1104696 1227440 1380870 1472928 1841160 2209392 2454880 2761740 3682320 4418784 5523480 7364640 11046960 22093920