Search a number
-
+
22278090 = 235292883
BaseRepresentation
bin101010011111…
…0111111001010
31112220211210110
41110332333022
521200344330
62113255150
7360234462
oct124767712
945824713
1022278090
111163694a
1275644b6
134800303
142d5cba2
151e50db0
hex153efca

22278090 has 48 divisors (see below), whose sum is σ = 55437408. Its totient is φ = 5729472.

The previous prime is 22278071. The next prime is 22278121. The reversal of 22278090 is 9087222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24789 + ... + 25671.

It is an arithmetic number, because the mean of its divisors is an integer number (1154946).

Almost surely, 222278090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22278090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27718704).

22278090 is an abundant number, since it is smaller than the sum of its proper divisors (33159318).

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

22278090 is a wasteful number, since it uses less digits than its factorization.

22278090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 22278090 is about 4719.9671609027. The cubic root of 22278090 is about 281.3796281464.

The spelling of 22278090 in words is "twenty-two million, two hundred seventy-eight thousand, ninety".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 841 870 883 1682 1766 2523 2649 4205 4415 5046 5298 8410 8830 12615 13245 25230 25607 26490 51214 76821 128035 153642 256070 384105 742603 768210 1485206 2227809 3713015 4455618 7426030 11139045 22278090