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22742532 = 2234174129
BaseRepresentation
bin101011011000…
…0011000000100
31120210102220000
41112300120010
521310230112
62131241300
7364210521
oct126603004
946712800
1022742532
111192388a
127749230
134933827
143040148
151ee37dc
hex15b0604

22742532 has 60 divisors (see below), whose sum is σ = 62965980. Its totient is φ = 7133184.

The previous prime is 22742527. The next prime is 22742539. The reversal of 22742532 is 23524722.

It can be written as a sum of positive squares in 2 ways, for example, as 15256836 + 7485696 = 3906^2 + 2736^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22742496 and 22742505.

It is not an unprimeable number, because it can be changed into a prime (22742539) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3444 + ... + 7572.

It is an arithmetic number, because the mean of its divisors is an integer number (1049433).

Almost surely, 222742532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22742532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31482990).

22742532 is an abundant number, since it is smaller than the sum of its proper divisors (40223448).

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

22742532 is a wasteful number, since it uses less digits than its factorization.

22742532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4151 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 22742532 is about 4768.9130837121. The cubic root of 22742532 is about 283.3215472221.

The spelling of 22742532 in words is "twenty-two million, seven hundred forty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 4129 5508 8258 12387 16516 24774 37161 49548 70193 74322 111483 140386 148644 210579 222966 280772 334449 421158 445932 631737 668898 842316 1263474 1337796 1895211 2526948 3790422 5685633 7580844 11371266 22742532