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14922468 = 2234115379
BaseRepresentation
bin111000111011…
…001011100100
31001002010210000
4320323023210
512310004333
61251501300
7240560511
oct70731344
931063700
1014922468
118472520
124bb7830
133126282
141da6308
15149b713
hexe3b2e4

14922468 has 120 divisors (see below), whose sum is σ = 43908480. Its totient is φ = 4380480.

The previous prime is 14922463. The next prime is 14922493. The reversal of 14922468 is 86422941.

It is a super-2 number, since 2×149224682 = 445360102422048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14922463) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 188853 + ... + 188931.

It is an arithmetic number, because the mean of its divisors is an integer number (365904).

Almost surely, 214922468 is an apocalyptic number.

14922468 is a gapful number since it is divisible by the number (18) 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 14922468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21954240).

14922468 is an abundant number, since it is smaller than the sum of its proper divisors (28986012).

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

14922468 is a wasteful number, since it uses less digits than its factorization.

14922468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 14922468 is about 3862.9610404455. The cubic root of 14922468 is about 246.1955613297.

The spelling of 14922468 in words is "fourteen million, nine hundred twenty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 53 54 66 79 81 99 106 108 132 158 159 162 198 212 237 297 316 318 324 396 474 477 583 594 636 711 869 891 948 954 1166 1188 1422 1431 1738 1749 1782 1908 2133 2332 2607 2844 2862 3476 3498 3564 4187 4266 4293 5214 5247 5724 6399 6996 7821 8374 8532 8586 10428 10494 12561 12798 15642 15741 16748 17172 20988 23463 25122 25596 31284 31482 37683 46057 46926 47223 50244 62964 70389 75366 92114 93852 94446 113049 138171 140778 150732 184228 188892 226098 276342 281556 339147 414513 452196 552684 678294 829026 1243539 1356588 1658052 2487078 3730617 4974156 7461234 14922468