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228631721472 = 2933711214789
BaseRepresentation
bin1101010011101110000…
…0110011011000000000
3210212010201220211121000
43110323200303120000
512221214210041342
6253010523132000
722342464365430
oct3247340633000
9725121824530
10228631721472
1188a64712330
1238388374000
13187380911bb
14b0cc9142c0
155e31dc244c
hex353b833600

228631721472 has 320 divisors, whose sum is σ = 843763852800. Its totient is φ = 59384586240.

The previous prime is 228631721459. The next prime is 228631721503. The reversal of 228631721472 is 274127136822.

228631721472 is a `hidden beast` number, since 2 + 2 + 8 + 6 + 3 + 172 + 1 + 472 = 666.

228631721472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2286317214723 (a number of 35 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957054 + ... + 1171842.

It is an arithmetic number, because the mean of its divisors is an integer number (2636762040).

Almost surely, 2228631721472 is an apocalyptic number.

228631721472 is a gapful number since it is divisible by the number (22) 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 228631721472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421881926400).

228631721472 is an abundant number, since it is smaller than the sum of its proper divisors (615132131328).

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

228631721472 is a wasteful number, since it uses less digits than its factorization.

228631721472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214834 (or 214812 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 228631721472 in words is "two hundred twenty-eight billion, six hundred thirty-one million, seven hundred twenty-one thousand, four hundred seventy-two".