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22001868 = 2234789109
BaseRepresentation
bin101001111101…
…1100011001100
31112101210220000
41103323203030
521113024433
62103324300
7355004250
oct123734314
945353800
1022001868
1111468369
127450690
134734675
142cca260
151de9113
hex14fb8cc

22001868 has 120 divisors (see below), whose sum is σ = 67082400. Its totient is φ = 6158592.

The previous prime is 22001857. The next prime is 22001873. The reversal of 22001868 is 86810022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 201798 + ... + 201906.

It is an arithmetic number, because the mean of its divisors is an integer number (559020).

Almost surely, 222001868 is an apocalyptic number.

22001868 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 22001868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33541200).

22001868 is an abundant number, since it is smaller than the sum of its proper divisors (45080532).

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

22001868 is a wasteful number, since it uses less digits than its factorization.

22001868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 22001868 is about 4690.6148850657. The cubic root of 22001868 is about 280.2118634615.

The spelling of 22001868 in words is "twenty-two million, one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 89 108 109 126 162 178 189 218 252 267 324 327 356 378 436 534 567 623 654 756 763 801 981 1068 1134 1246 1308 1526 1602 1869 1962 2268 2289 2403 2492 2943 3052 3204 3738 3924 4578 4806 5607 5886 6867 7209 7476 8829 9156 9612 9701 11214 11772 13734 14418 16821 17658 19402 20601 22428 27468 28836 29103 33642 35316 38804 41202 50463 58206 61803 67284 67907 82404 87309 100926 116412 123606 135814 174618 201852 203721 247212 261927 271628 349236 407442 523854 611163 785781 814884 1047708 1222326 1571562 1833489 2444652 3143124 3666978 5500467 7333956 11000934 22001868