Search a number
-
+
2230078178880 = 263253727207763
BaseRepresentation
bin100000011100111011000…
…001001000011001000000
321220012012222112100002200
4200130323001020121000
5243014200003211010
64424252254513200
7320055262520466
oct40347301103100
97805188470080
102230078178880
1178a852aa2a62
12300254805800
131323ac1bbb16
1479d1752a836
153d021d6ecc0
hex2073b048640

2230078178880 has 168 divisors, whose sum is σ = 7672634765952. Its totient is φ = 594525090816.

The previous prime is 2230078178849. The next prime is 2230078178891. The reversal of 2230078178880 is 888718700322.

2230078178880 is a `hidden beast` number, since 22 + 300 + 78 + 178 + 8 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10629879 + ... + 10837641.

Almost surely, 22230078178880 is an apocalyptic number.

2230078178880 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 2230078178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836317382976).

2230078178880 is an abundant number, since it is smaller than the sum of its proper divisors (5442556587072).

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

2230078178880 is a wasteful number, since it uses less digits than its factorization.

2230078178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211513 (or 211500 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 2230078178880 in words is "two trillion, two hundred thirty billion, seventy-eight million, one hundred seventy-eight thousand, eight hundred eighty".