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228837353472 = 2113571331163
BaseRepresentation
bin1101010100011111000…
…1001110100000000000
3210212200001212000200000
43111013301032200000
512222124330302342
6253043150400000
722350542260560
oct3250761164000
9725601760600
10228837353472
118905a7a1732
1238425200000
131876b86ab40
14b10bd60da0
155e44e9044c
hex3547c4e800

228837353472 has 1152 divisors, whose sum is σ = 876127150080. Its totient is φ = 58047528960.

The previous prime is 228837353419. The next prime is 228837353489. The reversal of 228837353472 is 274353738822.

228837353472 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 37 + 3 + 534 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 1403910063 + ... + 1403910225.

It is an arithmetic number, because the mean of its divisors is an integer number (760527040).

Almost surely, 2228837353472 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 228837353472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438063575040).

228837353472 is an abundant number, since it is smaller than the sum of its proper divisors (647289796608).

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

228837353472 is a wasteful number, since it uses less digits than its factorization.

228837353472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 219 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 228837353472 in words is "two hundred twenty-eight billion, eight hundred thirty-seven million, three hundred fifty-three thousand, four hundred seventy-two".