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228944784096 = 2534731491829
BaseRepresentation
bin1101010100111000101…
…1000010101011100000
3210212221120000001210000
43111032023002223200
512222334331042341
6253101545140000
722353315361440
oct3251613025340
9725846001700
10228944784096
11891053a8976
123845518a600
1318787bb3862
14b11c328120
155e4e6118b6
hex354e2c2ae0

228944784096 has 480 divisors, whose sum is σ = 796909639680. Its totient is φ = 63097574400.

The previous prime is 228944784077. The next prime is 228944784109. The reversal of 228944784096 is 690487449822.

228944784096 is a `hidden beast` number, since 2 + 28 + 9 + 447 + 84 + 0 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 276169410 + ... + 276170238.

It is an arithmetic number, because the mean of its divisors is an integer number (1660228416).

Almost surely, 2228944784096 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 228944784096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398454819840).

228944784096 is an abundant number, since it is smaller than the sum of its proper divisors (567964855584).

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

228944784096 is a wasteful number, since it uses less digits than its factorization.

228944784096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 228944784096 in words is "two hundred twenty-eight billion, nine hundred forty-four million, seven hundred eighty-four thousand, ninety-six".