Search a number
-
+
22449944 = 23111929463
BaseRepresentation
bin101010110100…
…0111100011000
31120020120112102
41111220330120
521221344234
62121102532
7361551506
oct125507430
946216472
1022449944
1111743a80
127627a48
1348605ba
142da5676
151e86c7e
hex1568f18

22449944 has 64 divisors (see below), whose sum is σ = 50112000. Its totient is φ = 9313920.

The previous prime is 22449907. The next prime is 22449961. The reversal of 22449944 is 44994422.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22449898 and 22449907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48257 + ... + 48719.

It is an arithmetic number, because the mean of its divisors is an integer number (783000).

Almost surely, 222449944 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 22449944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25056000).

22449944 is an abundant number, since it is smaller than the sum of its proper divisors (27662056).

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

22449944 is a wasteful number, since it uses less digits than its factorization.

22449944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 524 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 22449944 is about 4738.1371867011. The cubic root of 22449944 is about 282.1012998910.

The spelling of 22449944 in words is "twenty-two million, four hundred forty-nine thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 19 22 29 38 44 58 76 88 116 152 209 232 319 418 463 551 638 836 926 1102 1276 1672 1852 2204 2552 3704 4408 5093 6061 8797 10186 12122 13427 17594 20372 24244 26854 35188 40744 48488 53708 70376 96767 107416 147697 193534 255113 295394 387068 510226 590788 774136 1020452 1181576 2040904 2806243 5612486 11224972 22449944