Search a number
-
+
22006880 = 25573401
BaseRepresentation
bin101001111110…
…0110001100000
31112102001202122
41103330301200
521113210010
62103403412
7355025000
oct123746140
945361678
1022006880
1111471105
127453568
134736a2c
142ccc000
151dea855
hex14fcc60

22006880 has 96 divisors (see below), whose sum is σ = 60782400. Its totient is φ = 7526400.

The previous prime is 22006879. The next prime is 22006913. The reversal of 22006880 is 8860022.

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, 54680 + ... + 55080.

It is an arithmetic number, because the mean of its divisors is an integer number (633150).

Almost surely, 222006880 is an apocalyptic number.

22006880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30391200).

22006880 is an abundant number, since it is smaller than the sum of its proper divisors (38775520).

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

22006880 is an equidigital number, since it uses as much as digits as its factorization.

22006880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 22006880 is about 4691.1491129573. The cubic root of 22006880 is about 280.2331391585.

The spelling of 22006880 in words is "twenty-two million, six thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 343 392 401 490 560 686 784 802 980 1120 1372 1568 1604 1715 1960 2005 2744 2807 3208 3430 3920 4010 5488 5614 6416 6860 7840 8020 10976 11228 12832 13720 14035 16040 19649 22456 27440 28070 32080 39298 44912 54880 56140 64160 78596 89824 98245 112280 137543 157192 196490 224560 275086 314384 392980 449120 550172 628768 687715 785960 1100344 1375430 1571920 2200688 2750860 3143840 4401376 5501720 11003440 22006880