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22052052 = 223211233239
BaseRepresentation
bin101010000011…
…1110011010100
31112111100201200
41110013303110
521121131202
62104352500
7355303461
oct124076324
945440650
1022052052
11114a2040
127475730
134751469
142d00668
151e08e1c
hex1507cd4

22052052 has 72 divisors (see below), whose sum is σ = 61326720. Its totient is φ = 6625920.

The previous prime is 22052047. The next prime is 22052057. The reversal of 22052052 is 25025022.

It is an interprime number because it is at equal distance from previous prime (22052047) and next prime (22052057).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22052057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92149 + ... + 92387.

It is an arithmetic number, because the mean of its divisors is an integer number (851760).

Almost surely, 222052052 is an apocalyptic number.

22052052 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 22052052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30663360).

22052052 is an abundant number, since it is smaller than the sum of its proper divisors (39274668).

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

22052052 is a wasteful number, since it uses less digits than its factorization.

22052052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 488 counting only the distinct ones).

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

The square root of 22052052 is about 4695.9612434517. The cubic root of 22052052 is about 280.4247465107.

Adding to 22052052 its reverse (25025022), we get a palindrome (47077074).

The spelling of 22052052 in words is "twenty-two million, fifty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 233 239 396 466 478 699 717 932 956 1398 1434 2097 2151 2563 2629 2796 2868 4194 4302 5126 5258 7689 7887 8388 8604 10252 10516 15378 15774 23067 23661 30756 31548 46134 47322 55687 92268 94644 111374 167061 222748 334122 501183 612557 668244 1002366 1225114 1837671 2004732 2450228 3675342 5513013 7350684 11026026 22052052