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22250052 = 2235112081
BaseRepresentation
bin101010011100…
…0001001000100
31112212102100000
41110320021010
521144000202
62112521300
7360056646
oct124701104
945772300
1022250052
1111617880
127550230
1347c0616
142d52896
151e4791c
hex1538244

22250052 has 72 divisors (see below), whose sum is σ = 63659232. Its totient is φ = 6739200.

The previous prime is 22250027. The next prime is 22250069. The reversal of 22250052 is 25005222.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 9652 + ... + 11732.

It is an arithmetic number, because the mean of its divisors is an integer number (884156).

Almost surely, 222250052 is an apocalyptic number.

22250052 is a gapful number since it is divisible by the number (22) 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 22250052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31829616).

22250052 is an abundant number, since it is smaller than the sum of its proper divisors (41409180).

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

22250052 is a wasteful number, since it uses less digits than its factorization.

22250052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 22250052 is about 4716.9960780141. The cubic root of 22250052 is about 281.2615355269.

Adding to 22250052 its reverse (25005222), we get a palindrome (47255274).

The spelling of 22250052 in words is "twenty-two million, two hundred fifty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2081 2673 3564 4162 5346 6243 8324 10692 12486 18729 22891 24972 37458 45782 56187 68673 74916 91564 112374 137346 168561 206019 224748 274692 337122 412038 505683 618057 674244 824076 1011366 1236114 1854171 2022732 2472228 3708342 5562513 7416684 11125026 22250052