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22145648 = 247247601
BaseRepresentation
bin101010001111…
…0101001110000
31112200010010012
41110132221300
521132130043
62110354052
7356143400
oct124365160
945603105
1022145648
1111556398
1274bb928
134784c45
142d26800
151e26a18
hex151ea70

22145648 has 60 divisors (see below), whose sum is σ = 51059232. Its totient is φ = 9273600.

The previous prime is 22145609. The next prime is 22145653. The reversal of 22145648 is 84654122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36548 + ... + 37148.

Almost surely, 222145648 is an apocalyptic number.

22145648 is a gapful number since it is divisible by the number (28) 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 22145648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25529616).

22145648 is an abundant number, since it is smaller than the sum of its proper divisors (28913584).

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

22145648 is a wasteful number, since it uses less digits than its factorization.

22145648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 657 counting only the distinct ones).

The product of its digits is 15360, while the sum is 32.

The square root of 22145648 is about 4705.9162763483. The cubic root of 22145648 is about 280.8209241367.

The spelling of 22145648 in words is "twenty-two million, one hundred forty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 94 98 112 188 196 329 376 392 601 658 752 784 1202 1316 2303 2404 2632 4207 4606 4808 5264 8414 9212 9616 16828 18424 28247 29449 33656 36848 56494 58898 67312 112988 117796 197729 225976 235592 395458 451952 471184 790916 1384103 1581832 2768206 3163664 5536412 11072824 22145648