Search a number
-
+
227303097272640 = 26355231631734507
BaseRepresentation
bin110011101011101100100000…
…010111101000100101000000
31002210210222000200001022200000
4303223230200113220211000
5214243113220400211030
62123233333515400000
765610051435040554
oct6353544027504500
91083728020038600
10227303097272640
116647577a6a3784
12215b0a43453000
1399aa7895ab62c
14401b758703864
151b42a1db8d860
hexcebb205e8940

227303097272640 has 1344 divisors, whose sum is σ = 856336785647616. Its totient is φ = 57277270499328.

The previous prime is 227303097272633. The next prime is 227303097272659. The reversal of 227303097272640 is 46272790303722.

227303097272640 is a `hidden beast` number, since 2 + 2 + 7 + 3 + 0 + 309 + 7 + 272 + 64 + 0 = 666.

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

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, 50433345267 + ... + 50433349773.

It is an arithmetic number, because the mean of its divisors is an integer number (637155346464).

Almost surely, 2227303097272640 is an apocalyptic number.

227303097272640 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 227303097272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428168392823808).

227303097272640 is an abundant number, since it is smaller than the sum of its proper divisors (629033688374976).

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

227303097272640 is a wasteful number, since it uses less digits than its factorization.

227303097272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898 (or 4876 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 227303097272640 in words is "two hundred twenty-seven trillion, three hundred three billion, ninety-seven million, two hundred seventy-two thousand, six hundred forty".