Search a number
-
+
22091720 = 2357257307
BaseRepresentation
bin101010001000…
…1011111001000
31112120101010212
41110101133020
521123413340
62105300252
7355530230
oct124213710
945511125
1022091720
1111519922
127494688
134766531
142d10cc0
151e15a65
hex15117c8

22091720 has 64 divisors (see below), whose sum is σ = 57214080. Its totient is φ = 7520256.

The previous prime is 22091717. The next prime is 22091759. The reversal of 22091720 is 2719022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71807 + ... + 72113.

It is an arithmetic number, because the mean of its divisors is an integer number (893970).

Almost surely, 222091720 is an apocalyptic number.

22091720 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 22091720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28607040).

22091720 is an abundant number, since it is smaller than the sum of its proper divisors (35122360).

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

22091720 is a wasteful number, since it uses less digits than its factorization.

22091720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 22091720 is about 4700.1829751617. The cubic root of 22091720 is about 280.5927917261.

The spelling of 22091720 in words is "twenty-two million, ninety-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 257 280 307 514 614 1028 1228 1285 1535 1799 2056 2149 2456 2570 3070 3598 4298 5140 6140 7196 8596 8995 10280 10745 12280 14392 17192 17990 21490 35980 42980 71960 78899 85960 157798 315596 394495 552293 631192 788990 1104586 1577980 2209172 2761465 3155960 4418344 5522930 11045860 22091720