Search a number
-
+
223677853056 = 273572178997
BaseRepresentation
bin1101000001010000111…
…1010010110110000000
3210101100111100020200000
43100110033102312000
512131043012244211
6250431200400000
722105642244400
oct3202417226600
9711314306600
10223677853056
11869523536a9
1237425316000
1318128965008
14ab7ca20800
155c4202e656
hex34143d2d80

223677853056 has 1152 divisors, whose sum is σ = 839957882400. Its totient is φ = 58859716608.

The previous prime is 223677853033. The next prime is 223677853117. The reversal of 223677853056 is 650358776322.

It is a happy number.

223677853056 is a `hidden beast` number, since 2 + 2 + 36 + 7 + 78 + 530 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 223677852993 and 223677853011.

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, 2305957200 + ... + 2305957296.

Almost surely, 2223677853056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223677853056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419978941200).

223677853056 is an abundant number, since it is smaller than the sum of its proper divisors (616280029344).

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

223677853056 is an equidigital number, since it uses as much as digits as its factorization.

223677853056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 223677853056 in words is "two hundred twenty-three billion, six hundred seventy-seven million, eight hundred fifty-three thousand, fifty-six".