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220123134 = 232711241659
BaseRepresentation
bin11010001111011…
…00111111111110
3120100012102011200
431013230333332
5422322420014
633502000330
75312005260
oct1507547776
9510172150
10220123134
11103287850
12618760a6
13367b179a
142133db30
15144d1a09
hexd1ecffe

220123134 has 96 divisors (see below), whose sum is σ = 597991680. Its totient is φ = 56851200.

The previous prime is 220123129. The next prime is 220123139. The reversal of 220123134 is 431321022.

It is an interprime number because it is at equal distance from previous prime (220123129) and next prime (220123139).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220123139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333697 + ... + 334355.

It is an arithmetic number, because the mean of its divisors is an integer number (6229080).

Almost surely, 2220123134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220123134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298995840).

220123134 is an abundant number, since it is smaller than the sum of its proper divisors (377868546).

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

220123134 is a wasteful number, since it uses less digits than its factorization.

220123134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 220123134 is about 14836.5472398399. The cubic root of 220123134 is about 603.7936794395.

Adding to 220123134 its reverse (431321022), we get a palindrome (651444156).

The spelling of 220123134 in words is "two hundred twenty million, one hundred twenty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 241 462 482 659 693 723 1318 1386 1446 1687 1977 2169 2651 3374 3954 4338 4613 5061 5302 5931 7249 7953 9226 10122 11862 13839 14498 15183 15906 18557 21747 23859 27678 30366 37114 41517 43494 47718 50743 55671 65241 83034 101486 111342 130482 152229 158819 167013 304458 317638 334026 456687 476457 913374 952914 1111733 1429371 1747009 2223466 2858742 3335199 3494018 5241027 6670398 10005597 10482054 12229063 15723081 20011194 24458126 31446162 36687189 73374378 110061567 220123134