Search a number
-
+
22708480 = 285113157
BaseRepresentation
bin101011010100…
…0000100000000
31120201201011211
41112220010000
521303132410
62130415504
7364006324
oct126500400
946651154
1022708480
1111900243
127731594
134921192
143031984
151ed868a
hex15a8100

22708480 has 72 divisors (see below), whose sum is σ = 55224792. Its totient is φ = 8945664.

The previous prime is 22708459. The next prime is 22708501. The reversal of 22708480 is 8480722.

It is an interprime number because it is at equal distance from previous prime (22708459) and next prime (22708501).

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 22429696 = 528^2 + 4736^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144562 + ... + 144718.

It is an arithmetic number, because the mean of its divisors is an integer number (767011).

Almost surely, 222708480 is an apocalyptic number.

22708480 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 22708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27612396).

22708480 is an abundant number, since it is smaller than the sum of its proper divisors (32516312).

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

22708480 is a wasteful number, since it uses less digits than its factorization.

22708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 22708480 is about 4765.3415407503. The cubic root of 22708480 is about 283.1800724378.

The spelling of 22708480 in words is "twenty-two million, seven hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 157 160 226 256 314 320 452 565 628 640 785 904 1130 1256 1280 1570 1808 2260 2512 3140 3616 4520 5024 6280 7232 9040 10048 12560 14464 17741 18080 20096 25120 28928 35482 36160 40192 50240 70964 72320 88705 100480 141928 144640 177410 200960 283856 354820 567712 709640 1135424 1419280 2270848 2838560 4541696 5677120 11354240 22708480