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4222392 = 2331779131
BaseRepresentation
bin10000000110110110111000
321221112000220
4100012312320
52040104032
6230300040
750614116
oct20066670
97845026
104222392
112424389
1214b7620
13b4ab75
147bcab6
1558612c
hex406db8

4222392 has 64 divisors (see below), whose sum is σ = 11404800. Its totient is φ = 1297920.

The previous prime is 4222391. The next prime is 4222397. The reversal of 4222392 is 2932224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 4 + 27 + 213 + 221 + 39 + 92 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32167 + ... + 32297.

It is an arithmetic number, because the mean of its divisors is an integer number (178200).

Almost surely, 24222392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4222392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702400).

4222392 is an abundant number, since it is smaller than the sum of its proper divisors (7182408).

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

4222392 is a wasteful number, since it uses less digits than its factorization.

4222392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 232 counting only the distinct ones).

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

The square root of 4222392 is about 2054.8459796296. The cubic root of 4222392 is about 161.6290858668.

The spelling of 4222392 in words is "four million, two hundred twenty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 79 102 131 136 158 204 237 262 316 393 408 474 524 632 786 948 1048 1343 1572 1896 2227 2686 3144 4029 4454 5372 6681 8058 8908 10349 10744 13362 16116 17816 20698 26724 31047 32232 41396 53448 62094 82792 124188 175933 248376 351866 527799 703732 1055598 1407464 2111196 4222392