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22948134 = 2311273433
BaseRepresentation
bin101011110001…
…0100100100110
31121011212220220
41113202210212
521333320014
62135505210
7366025116
oct127424446
947155826
1022948134
1111a54300
127828206
1349a62a1
143095046
1520346a9
hex15e2926

22948134 has 48 divisors (see below), whose sum is σ = 51257136. Its totient is φ = 6842880.

The previous prime is 22948129. The next prime is 22948141. The reversal of 22948134 is 43184922.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 22948095 and 22948104.

It is a congruent number.

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, 52782 + ... + 53214.

It is an arithmetic number, because the mean of its divisors is an integer number (1067857).

Almost surely, 222948134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22948134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25628568).

22948134 is an abundant number, since it is smaller than the sum of its proper divisors (28309002).

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

22948134 is a wasteful number, since it uses less digits than its factorization.

22948134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 522 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 22948134 is about 4790.4210670879. The cubic root of 22948134 is about 284.1727689752.

The spelling of 22948134 in words is "twenty-two million, nine hundred forty-eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 73 121 146 219 242 363 433 438 726 803 866 1299 1606 2409 2598 4763 4818 8833 9526 14289 17666 26499 28578 31609 52393 52998 63218 94827 104786 157179 189654 314358 347699 695398 1043097 2086194 3824689 7649378 11474067 22948134