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20442216 = 23323291277
BaseRepresentation
bin100110111111…
…0110001101000
31102110120110010
41031332301220
520213122331
62010051520
7335520204
oct115766150
942416403
1020442216
11105a25a3
126a19ba0
1343097b2
142a01b04
151bdbe46
hex137ec68

20442216 has 64 divisors (see below), whose sum is σ = 55209600. Its totient is φ = 6288128.

The previous prime is 20442203. The next prime is 20442269. The reversal of 20442216 is 61224402.

It is a junction number, because it is equal to n+sod(n) for n = 20442192 and 20442201.

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, 15370 + ... + 16646.

It is an arithmetic number, because the mean of its divisors is an integer number (862650).

Almost surely, 220442216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20442216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27604800).

20442216 is an abundant number, since it is smaller than the sum of its proper divisors (34767384).

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

20442216 is a wasteful number, since it uses less digits than its factorization.

20442216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 20442216 is about 4521.3068907120. The cubic root of 20442216 is about 273.4277933817.

Adding to 20442216 its reverse (61224402), we get a palindrome (81666618).

The spelling of 20442216 in words is "twenty million, four hundred forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 552 667 696 1277 1334 2001 2554 2668 3831 4002 5108 5336 7662 8004 10216 15324 16008 29371 30648 37033 58742 74066 88113 111099 117484 148132 176226 222198 234968 296264 352452 444396 704904 851759 888792 1703518 2555277 3407036 5110554 6814072 10221108 20442216