Search a number
-
+
22745196 = 22323189229
BaseRepresentation
bin101011011000…
…1000001101100
31120210120112200
41112301001230
521310321241
62131301500
7364221345
oct126610154
946716480
1022745196
1111925891
12774a890
134934ac6
1430410cc
151ee44b6
hex15b106c

22745196 has 72 divisors (see below), whose sum is σ = 60278400. Its totient is φ = 7223040.

The previous prime is 22745171. The next prime is 22745207. The reversal of 22745196 is 69154722.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22745196.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99210 + ... + 99438.

It is an arithmetic number, because the mean of its divisors is an integer number (837200).

Almost surely, 222745196 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 22745196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30139200).

22745196 is an abundant number, since it is smaller than the sum of its proper divisors (37533204).

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

22745196 is a wasteful number, since it uses less digits than its factorization.

22745196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 354 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 22745196 is about 4769.1923844609. The cubic root of 22745196 is about 283.3326093023.

The spelling of 22745196 in words is "twenty-two million, seven hundred forty-five thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 89 93 124 178 186 229 267 279 356 372 458 534 558 687 801 916 1068 1116 1374 1602 2061 2748 2759 3204 4122 5518 7099 8244 8277 11036 14198 16554 20381 21297 24831 28396 33108 40762 42594 49662 61143 63891 81524 85188 99324 122286 127782 183429 244572 255564 366858 631811 733716 1263622 1895433 2527244 3790866 5686299 7581732 11372598 22745196