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22127196 = 22371323881
BaseRepresentation
bin101010001101…
…0001001011100
31112122011210210
41110122021130
521131032241
62110132420
7356035530
oct124321134
945564723
1022127196
1111543543
1274b1110
134779720
142d1dbc0
151e21316
hex151a25c

22127196 has 96 divisors (see below), whose sum is σ = 66382848. Its totient is φ = 5575680.

The previous prime is 22127143. The next prime is 22127197. The reversal of 22127196 is 69172122.

It is a super-2 number, since 2×221271962 = 979225605644832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22127197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24676 + ... + 25556.

It is an arithmetic number, because the mean of its divisors is an integer number (691488).

Almost surely, 222127196 is an apocalyptic number.

22127196 is a gapful number since it is divisible by the number (26) 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 22127196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33191424).

22127196 is an abundant number, since it is smaller than the sum of its proper divisors (44255652).

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

22127196 is a wasteful number, since it uses less digits than its factorization.

22127196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 929 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 22127196 is about 4703.9553569310. The cubic root of 22127196 is about 280.7429080933.

The spelling of 22127196 in words is "twenty-two million, one hundred twenty-seven thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 52 69 78 84 91 92 138 156 161 182 273 276 299 322 364 483 546 598 644 881 897 966 1092 1196 1762 1794 1932 2093 2643 3524 3588 4186 5286 6167 6279 8372 10572 11453 12334 12558 18501 20263 22906 24668 25116 34359 37002 40526 45812 60789 68718 74004 80171 81052 121578 137436 141841 160342 240513 243156 263419 283682 320684 425523 481026 526838 567364 790257 851046 962052 1053676 1580514 1702092 1843933 3161028 3687866 5531799 7375732 11063598 22127196