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22166430 = 23511135167
BaseRepresentation
bin101010010001…
…1101110011110
31112201011121220
41110203232132
521133311210
62111034210
7356261106
oct124435636
945634556
1022166430
111156aa70
12750b966
134791540
142d30206
151e2cc70
hex1523b9e

22166430 has 64 divisors (see below), whose sum is σ = 62512128. Its totient is φ = 4959360.

The previous prime is 22166383. The next prime is 22166447. The reversal of 22166430 is 3466122.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22166430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1707 + ... + 6873.

It is an arithmetic number, because the mean of its divisors is an integer number (976752).

Almost surely, 222166430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22166430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31256064).

22166430 is an abundant number, since it is smaller than the sum of its proper divisors (40345698).

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

22166430 is a wasteful number, since it uses less digits than its factorization.

22166430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 22166430 is about 4708.1238301472. The cubic root of 22166430 is about 280.9087396727.

It can be divided in two parts, 2216 and 6430, that added together give a triangular number (8646 = T131).

The spelling of 22166430 in words is "twenty-two million, one hundred sixty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2145 4290 5167 10334 15501 25835 31002 51670 56837 67171 77505 113674 134342 155010 170511 201513 284185 335855 341022 403026 568370 671710 738881 852555 1007565 1477762 1705110 2015130 2216643 3694405 4433286 7388810 11083215 22166430