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22013880 = 2335773359
BaseRepresentation
bin101001111111…
…0011110111000
31112102102100220
41103332132320
521113421010
62103500040
7355054260
oct123763670
945372326
1022013880
1111476399
127457620
134739c85
142cd07a0
151dec970
hex14fe7b8

22013880 has 128 divisors (see below), whose sum is σ = 76723200. Its totient is φ = 4948992.

The previous prime is 22013879. The next prime is 22013897. The reversal of 22013880 is 8831022.

It is a super-2 number, since 2×220138802 = 969221825308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22013880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61141 + ... + 61499.

It is an arithmetic number, because the mean of its divisors is an integer number (599400).

Almost surely, 222013880 is an apocalyptic number.

22013880 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 22013880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38361600).

22013880 is an abundant number, since it is smaller than the sum of its proper divisors (54709320).

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

22013880 is a wasteful number, since it uses less digits than its factorization.

22013880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 22013880 is about 4691.8951394932. The cubic root of 22013880 is about 280.2628484134.

The spelling of 22013880 in words is "twenty-two million, thirteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 73 84 105 120 140 146 168 210 219 280 292 359 365 420 438 511 584 718 730 840 876 1022 1077 1095 1436 1460 1533 1752 1795 2044 2154 2190 2513 2555 2872 2920 3066 3590 4088 4308 4380 5026 5110 5385 6132 7180 7539 7665 8616 8760 10052 10220 10770 12264 12565 14360 15078 15330 20104 20440 21540 25130 26207 30156 30660 37695 43080 50260 52414 60312 61320 75390 78621 100520 104828 131035 150780 157242 183449 209656 262070 301560 314484 366898 393105 524140 550347 628968 733796 786210 917245 1048280 1100694 1467592 1572420 1834490 2201388 2751735 3144840 3668980 4402776 5503470 7337960 11006940 22013880