Search a number
-
+
22876783020 = 22355713223173
BaseRepresentation
bin10101010011100100…
…000000000110101100
32012001022200222200000
4111103210000012230
5333322424024040
614302012504300
71436623306260
oct252344000654
965038628600
1022876783020
11977a390753
12452547b090
1322076a9c00
1411703b60a0
158dd5c1130
hex5539001ac

22876783020 has 864 divisors, whose sum is σ = 93465695232. Its totient is φ = 4590203904.

The previous prime is 22876783019. The next prime is 22876783049. The reversal of 22876783020 is 2038767822.

22876783020 is a `hidden beast` number, since 2 + 287 + 67 + 8 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 132235654 + ... + 132235826.

It is an arithmetic number, because the mean of its divisors is an integer number (108177888).

Almost surely, 222876783020 is an apocalyptic number.

22876783020 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 22876783020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46732847616).

22876783020 is an abundant number, since it is smaller than the sum of its proper divisors (70588912212).

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

22876783020 is a wasteful number, since it uses less digits than its factorization.

22876783020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 22876783020 in words is "twenty-two billion, eight hundred seventy-six million, seven hundred eighty-three thousand, twenty".