Search a number
-
+
22778680 = 2353715391
BaseRepresentation
bin101011011100…
…1001100111000
31120212021110211
41112321030320
521312404210
62132120504
7364421101
oct126711470
946767424
1022778680
1111948a61
127766134
134947112
14304d3a8
151eee38a
hex15b9338

22778680 has 32 divisors (see below), whose sum is σ = 52640640. Its totient is φ = 8864640.

The previous prime is 22778677. The next prime is 22778687. The reversal of 22778680 is 8687722.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22778687) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6216 + ... + 9175.

It is an arithmetic number, because the mean of its divisors is an integer number (1645020).

Almost surely, 222778680 is an apocalyptic number.

22778680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22778680 is an abundant number, since it is smaller than the sum of its proper divisors (29861960).

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

22778680 is a wasteful number, since it uses less digits than its factorization.

22778680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15439 (or 15435 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The square root of 22778680 is about 4772.7015410562. The cubic root of 22778680 is about 283.4715757527.

The spelling of 22778680 in words is "twenty-two million, seven hundred seventy-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 15391 30782 61564 76955 123128 153910 307820 569467 615640 1138934 2277868 2847335 4555736 5694670 11389340 22778680