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22413120 = 263537631
BaseRepresentation
bin101010101111…
…1111101000000
31120011201000120
41111133331000
521214204440
62120220240
7361336242
oct125377500
946151016
1022413120
1111719344
12760a680
134849902
142d96092
151e7add0
hex155ff40

22413120 has 112 divisors (see below), whose sum is σ = 73200768. Its totient is φ = 5806080.

The previous prime is 22413113. The next prime is 22413133. The reversal of 22413120 is 2131422.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22413120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35205 + ... + 35835.

Almost surely, 222413120 is an apocalyptic number.

22413120 is a gapful number since it is divisible by the number (20) 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 22413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36600384).

22413120 is an abundant number, since it is smaller than the sum of its proper divisors (50787648).

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

22413120 is a wasteful number, since it uses less digits than its factorization.

22413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 22413120 is about 4734.2496765591. The cubic root of 22413120 is about 281.9469745882.

Adding to 22413120 its reverse (2131422), we get a palindrome (24544542).

The spelling of 22413120 in words is "twenty-two million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 148 160 185 192 222 240 296 320 370 444 480 555 592 631 740 888 960 1110 1184 1262 1480 1776 1893 2220 2368 2524 2960 3155 3552 3786 4440 5048 5920 6310 7104 7572 8880 9465 10096 11840 12620 15144 17760 18930 20192 23347 25240 30288 35520 37860 40384 46694 50480 60576 70041 75720 93388 100960 116735 121152 140082 151440 186776 201920 233470 280164 302880 350205 373552 466940 560328 605760 700410 747104 933880 1120656 1400820 1494208 1867760 2241312 2801640 3735520 4482624 5603280 7471040 11206560 22413120