Search a number
-
+
222691628823552 = 210357317314951
BaseRepresentation
bin110010101000100101101111…
…011011100011010000000000
31002012111010000111120222200000
4302220211233123203100000
5213142034423434323202
62105343042202400000
764622640106005000
oct6250455733432000
91065433014528600
10222691628823552
1164a57a97a04019
1220b87167b00000
139734965b71b65
143cdc491d4c000
151ab2ac10e191c
hexca896f6e3400

222691628823552 has 2112 divisors, whose sum is σ = 850124117606400. Its totient is φ = 57940033536000.

The previous prime is 222691628823509. The next prime is 222691628823571. The reversal of 222691628823552 is 255328826196222.

It is a happy number.

222691628823552 is a `hidden beast` number, since 2 + 2 + 2 + 69 + 16 + 2 + 8 + 8 + 2 + 3 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 222691628823552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44979118677 + ... + 44979123627.

Almost surely, 2222691628823552 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 222691628823552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425062058803200).

222691628823552 is an abundant number, since it is smaller than the sum of its proper divisors (627432488782848).

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

222691628823552 is an equidigital number, since it uses as much as digits as its factorization.

222691628823552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055 (or 5011 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 222691628823552 in words is "two hundred twenty-two trillion, six hundred ninety-one billion, six hundred twenty-eight million, eight hundred twenty-three thousand, five hundred fifty-two".