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22127418 = 234137997
BaseRepresentation
bin101010001101…
…0001100111010
31112122012010000
41110122030322
521131034133
62110133430
7356036265
oct124321472
945565100
1022127418
1111543725
1274b1276
134779861
142d1dcdc
151e21413
hex151a33a

22127418 has 40 divisors (see below), whose sum is σ = 49993812. Its totient is φ = 7314624.

The previous prime is 22127401. The next prime is 22127429. The reversal of 22127418 is 81472122.

22127418 is a `hidden beast` number, since 221 + 27 + 418 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20820969 + 1306449 = 4563^2 + 1143^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22127391 and 22127400.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21696 + ... + 22692.

Almost surely, 222127418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22127418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24996906).

22127418 is an abundant number, since it is smaller than the sum of its proper divisors (27866394).

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

22127418 is a wasteful number, since it uses less digits than its factorization.

22127418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1139 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 22127418 is about 4703.9789540346. The cubic root of 22127418 is about 280.7438469789.

The spelling of 22127418 in words is "twenty-two million, one hundred twenty-seven thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 274 411 822 997 1233 1994 2466 2991 3699 5982 7398 8973 11097 17946 22194 26919 53838 80757 136589 161514 273178 409767 819534 1229301 2458602 3687903 7375806 11063709 22127418