Search a number
-
+
226754986752 = 2832731795741
BaseRepresentation
bin1101001100101110100…
…1101000001100000000
3210200021221111211112200
43103023221220030000
512203343234034002
6252100402153200
722245125404560
oct3231351501400
9720257454480
10226754986752
11881913077a8
1237b43952800
13184c9315098
14ad91584da0
155d7225cb1c
hex34cba68300

226754986752 has 432 divisors, whose sum is σ = 781191290880. Its totient is φ = 61892812800.

The previous prime is 226754986739. The next prime is 226754986771. The reversal of 226754986752 is 257689457622.

226754986752 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 549 + 86 + 7 + 5 + 2 = 666.

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

Its product of digits (101606400) is a multiple of the sum of its prime factors (5880).

It is a self number, because there is not a number n which added to its sum of digits gives 226754986752.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39494602 + ... + 39500342.

Almost surely, 2226754986752 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 226754986752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390595645440).

226754986752 is an abundant number, since it is smaller than the sum of its proper divisors (554436304128).

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

226754986752 is a wasteful number, since it uses less digits than its factorization.

226754986752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5863 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 226754986752 in words is "two hundred twenty-six billion, seven hundred fifty-four million, nine hundred eighty-six thousand, seven hundred fifty-two".