Search a number
-
+
2622781980 = 223257132109113
BaseRepresentation
bin1001110001010100…
…0111101000011100
320202210020010111100
42130111013220130
520332413010410
61112131153100
7121665164460
oct23425075034
96683203440
102622781980
111126545a15
12612445790
1332a4bb700
141ac4924a0
151053d08c0
hex9c547a1c

2622781980 has 432 divisors, whose sum is σ = 10023773760. Its totient is φ = 543449088.

The previous prime is 2622781969. The next prime is 2622782003. The reversal of 2622781980 is 891872262.

2622781980 is a `hidden beast` number, since 2 + 622 + 7 + 8 + 19 + 8 + 0 = 666.

It is a super-2 number, since 2×26227819802 = 13757970629225440800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23210404 + ... + 23210516.

It is an arithmetic number, because the mean of its divisors is an integer number (23203180).

Almost surely, 22622781980 is an apocalyptic number.

2622781980 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 2622781980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011886880).

2622781980 is an abundant number, since it is smaller than the sum of its proper divisors (7400991780).

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

2622781980 is a wasteful number, since it uses less digits than its factorization.

2622781980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2622781980 is about 51213.1035966382. The cubic root of 2622781980 is about 1379.0734486130.

The spelling of 2622781980 in words is "two billion, six hundred twenty-two million, seven hundred eighty-one thousand, nine hundred eighty".