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22149816 = 23313243127
BaseRepresentation
bin101010001111…
…1101010111000
31112200022211120
41110133222320
521132243231
62110425240
7356161503
oct124375270
945608746
1022149816
1111559537
127502220
134786b00
142d2813a
151e27d96
hex151fab8

22149816 has 96 divisors (see below), whose sum is σ = 61839360. Its totient is φ = 6604416.

The previous prime is 22149811. The next prime is 22149833. The reversal of 22149816 is 61894122.

It is a super-2 number, since 2×221498162 = 981228697667712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22149811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174345 + ... + 174471.

It is an arithmetic number, because the mean of its divisors is an integer number (644160).

Almost surely, 222149816 is an apocalyptic number.

22149816 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 22149816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30919680).

22149816 is an abundant number, since it is smaller than the sum of its proper divisors (39689544).

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

22149816 is a wasteful number, since it uses less digits than its factorization.

22149816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 22149816 is about 4706.3591023210. The cubic root of 22149816 is about 280.8385406633.

The spelling of 22149816 in words is "twenty-two million, one hundred forty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 127 129 156 169 172 254 258 312 338 344 381 507 508 516 559 676 762 1014 1016 1032 1118 1352 1524 1651 1677 2028 2236 3048 3302 3354 4056 4472 4953 5461 6604 6708 7267 9906 10922 13208 13416 14534 16383 19812 21463 21801 21844 29068 32766 39624 42926 43602 43688 58136 64389 65532 70993 85852 87204 128778 131064 141986 171704 174408 212979 257556 283972 425958 515112 567944 851916 922909 1703832 1845818 2768727 3691636 5537454 7383272 11074908 22149816