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22228650 = 23252471051
BaseRepresentation
bin101010011001…
…0111010101010
31112211022222100
41110302322222
521142304100
62112234230
7356640363
oct124627252
945738870
1022228650
1111602794
12753b976
1347b3962
142d48b6a
151e41400
hex1532eaa

22228650 has 72 divisors (see below), whose sum is σ = 61049664. Its totient is φ = 5796000.

The previous prime is 22228631. The next prime is 22228667. The reversal of 22228650 is 5682222.

22228650 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 8 + 650 = 666.

It is a super-2 number, since 2×222286502 = 988225761645000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20625 + ... + 21675.

It is an arithmetic number, because the mean of its divisors is an integer number (847912).

Almost surely, 222228650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22228650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30524832).

22228650 is an abundant number, since it is smaller than the sum of its proper divisors (38821014).

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

22228650 is a wasteful number, since it uses less digits than its factorization.

22228650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22228650 is about 4714.7269274052. The cubic root of 22228650 is about 281.1713261428.

The spelling of 22228650 in words is "twenty-two million, two hundred twenty-eight thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 47 50 75 90 94 141 150 225 235 282 423 450 470 705 846 1051 1175 1410 2102 2115 2350 3153 3525 4230 5255 6306 7050 9459 10510 10575 15765 18918 21150 26275 31530 47295 49397 52550 78825 94590 98794 148191 157650 236475 246985 296382 444573 472950 493970 740955 889146 1234925 1481910 2222865 2469850 3704775 4445730 7409550 11114325 22228650