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22264060 = 2257132941
BaseRepresentation
bin101010011101…
…1100011111100
31112220010112211
41110323203330
521144422220
62113110204
7360145540
oct124734374
945803484
1022264060
1111627355
127558364
1347c6b00
142d57a20
151e4bb5a
hex153b8fc

22264060 has 72 divisors (see below), whose sum is σ = 57921696. Its totient is φ = 7038720.

The previous prime is 22264049. The next prime is 22264091. The reversal of 22264060 is 6046222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23190 + ... + 24130.

It is an arithmetic number, because the mean of its divisors is an integer number (804468).

Almost surely, 222264060 is an apocalyptic number.

22264060 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 22264060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28960848).

22264060 is an abundant number, since it is smaller than the sum of its proper divisors (35657636).

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

22264060 is a wasteful number, since it uses less digits than its factorization.

22264060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 22264060 is about 4718.4806876790. The cubic root of 22264060 is about 281.3205478992.

The spelling of 22264060 in words is "twenty-two million, two hundred sixty-four thousand, sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 676 845 910 941 1183 1690 1820 1882 2366 3380 3764 4705 4732 5915 6587 9410 11830 12233 13174 18820 23660 24466 26348 32935 48932 61165 65870 85631 122330 131740 159029 171262 244660 318058 342524 428155 636116 795145 856310 1113203 1590290 1712620 2226406 3180580 4452812 5566015 11132030 22264060