Search a number
-
+
223782256515780 = 2232567151316338851
BaseRepresentation
bin110010111000011101011101…
…111010000001101011000100
31002100100101010020000012010200
4302320131131322001223010
5213312422030132001110
62111540052135050500
765064506634304044
oct6270353572015304
91070311106005120
10223782256515780
11653385818a2506
1221122600b10a30
1397b3765002c91
143d391947a7724
151ad1153d726c0
hexcb875de81ac4

223782256515780 has 288 divisors, whose sum is σ = 693737224147968. Its totient is φ = 58375326240000.

The previous prime is 223782256515749. The next prime is 223782256515787. The reversal of 223782256515780 is 87515652287322.

223782256515780 is a `hidden beast` number, since 2 + 2 + 3 + 7 + 8 + 2 + 2 + 5 + 6 + 51 + 578 + 0 = 666.

223782256515780 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (223782256515787) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5759993355 + ... + 5760032205.

Almost surely, 2223782256515780 is an apocalyptic number.

223782256515780 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 223782256515780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346868612073984).

223782256515780 is an abundant number, since it is smaller than the sum of its proper divisors (469954967632188).

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

223782256515780 is a wasteful number, since it uses less digits than its factorization.

223782256515780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42247 (or 42242 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 223782256515780 in words is "two hundred twenty-three trillion, seven hundred eighty-two billion, two hundred fifty-six million, five hundred fifteen thousand, seven hundred eighty".