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22201842 = 23131971211
BaseRepresentation
bin101010010110…
…0010111110010
31112202222012110
41110230113302
521140424332
62111510150
7356466255
oct124542762
945688173
1022201842
1111594633
127528356
1347a46b0
142d3d09c
151e384cc
hex152c5f2

22201842 has 64 divisors (see below), whose sum is σ = 51287040. Its totient is φ = 6350400.

The previous prime is 22201819. The next prime is 22201867. The reversal of 22201842 is 24810222.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105117 + ... + 105327.

It is an arithmetic number, because the mean of its divisors is an integer number (801360).

Almost surely, 222201842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25643520).

22201842 is an abundant number, since it is smaller than the sum of its proper divisors (29085198).

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

22201842 is a wasteful number, since it uses less digits than its factorization.

22201842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319.

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 22201842 is about 4711.8830630651. The cubic root of 22201842 is about 281.0582487539.

The spelling of 22201842 in words is "twenty-two million, two hundred one thousand, eight hundred forty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 71 78 114 142 211 213 247 422 426 494 633 741 923 1266 1349 1482 1846 2698 2743 2769 4009 4047 5486 5538 8018 8094 8229 12027 14981 16458 17537 24054 29962 35074 44943 52117 52611 89886 104234 105222 156351 194753 284639 312702 389506 569278 584259 853917 1168518 1707834 3700307 7400614 11100921 22201842