Search a number
-
+
22142432 = 25131731101
BaseRepresentation
bin101010001110…
…1110111100000
31112122221201002
41110131313200
521132024212
62110331132
7356131124
oct124356740
945587632
1022142432
1111553a34
1274b9aa8
134783640
142d25584
151e25ac2
hex151dde0

22142432 has 96 divisors (see below), whose sum is σ = 51819264. Its totient is φ = 9216000.

The previous prime is 22142423. The next prime is 22142447. The reversal of 22142432 is 23424122.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 219182 + ... + 219282.

It is an arithmetic number, because the mean of its divisors is an integer number (539784).

Almost surely, 222142432 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 22142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25909632).

22142432 is an abundant number, since it is smaller than the sum of its proper divisors (29676832).

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

22142432 is a wasteful number, since it uses less digits than its factorization.

22142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its digits is 768, while the sum is 20.

The square root of 22142432 is about 4705.5745664053. The cubic root of 22142432 is about 280.8073298357.

Adding to 22142432 its reverse (23424122), we get a palindrome (45566554).

The spelling of 22142432 in words is "twenty-two million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 31 32 34 52 62 68 101 104 124 136 202 208 221 248 272 403 404 416 442 496 527 544 806 808 884 992 1054 1313 1612 1616 1717 1768 2108 2626 3131 3224 3232 3434 3536 4216 5252 6262 6448 6851 6868 7072 8432 10504 12524 12896 13702 13736 16864 21008 22321 25048 27404 27472 40703 42016 44642 50096 53227 54808 54944 81406 89284 100192 106454 109616 162812 178568 212908 219232 325624 357136 425816 651248 691951 714272 851632 1302496 1383902 1703264 2767804 5535608 11071216 22142432