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22061520 = 24325132357
BaseRepresentation
bin101010000101…
…0000111010000
31112111211201100
41110022013100
521121432040
62104504400
7355343205
oct124120720
945454640
1022061520
11114a9168
12747b100
134755870
142d03cac
151e0bb30
hex150a1d0

22061520 has 120 divisors (see below), whose sum is σ = 79823016. Its totient is φ = 5428224.

The previous prime is 22061513. The next prime is 22061569. The reversal of 22061520 is 2516022.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 22014864 = 216^2 + 4692^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 22061493 and 22061502.

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, 8182 + ... + 10538.

Almost surely, 222061520 is an apocalyptic number.

22061520 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 22061520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39911508).

22061520 is an abundant number, since it is smaller than the sum of its proper divisors (57761496).

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

22061520 is a wasteful number, since it uses less digits than its factorization.

22061520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 22061520 is about 4696.9692355816. The cubic root of 22061520 is about 280.4648740176.

Adding to 22061520 its reverse (2516022), we get a palindrome (24577542).

The spelling of 22061520 in words is "twenty-two million, sixty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 2357 3120 4680 4714 7071 9360 9428 11785 14142 18856 21213 23570 28284 30641 35355 37712 42426 47140 56568 61282 70710 84852 91923 94280 106065 113136 122564 141420 153205 169704 183846 188560 212130 245128 275769 282840 306410 339408 367692 424260 459615 490256 551538 565680 612820 735384 848520 919230 1103076 1225640 1378845 1470768 1697040 1838460 2206152 2451280 2757690 3676920 4412304 5515380 7353840 11030760 22061520