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22148082 = 23211210169
BaseRepresentation
bin101010001111…
…1001111110010
31112200020110100
41110133033302
521132214312
62110413230
7356153445
oct124371762
945606410
1022148082
1111558200
127501216
134786098
142d2765c
151e275dc
hex151f3f2

22148082 has 36 divisors (see below), whose sum is σ = 52751790. Its totient is φ = 6710880.

The previous prime is 22148081. The next prime is 22148099. The reversal of 22148082 is 28084122.

It can be written as a sum of positive squares in only one way, i.e., 13905441 + 8242641 = 3729^2 + 2871^2 .

It is not an unprimeable number, because it can be changed into a prime (22148081) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2907 + ... + 7262.

Almost surely, 222148082 is an apocalyptic number.

22148082 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22148082 is an abundant number, since it is smaller than the sum of its proper divisors (30603708).

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

22148082 is a wasteful number, since it uses less digits than its factorization.

22148082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10199 (or 10185 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 22148082 is about 4706.1748798786. The cubic root of 22148082 is about 280.8312119833.

It can be divided in two parts, 2214 and 8082, that added together give a triangular number (10296 = T143).

The spelling of 22148082 in words is "twenty-two million, one hundred forty-eight thousand, eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 10169 20338 30507 61014 91521 111859 183042 223718 335577 671154 1006731 1230449 2013462 2460898 3691347 7382694 11074041 22148082