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228052787654400 = 2835219821761443
BaseRepresentation
bin110011110110100110101101…
…011001011110111100000000
31002220110122002212202122122120
4303312212231121132330000
5214342404102114420100
62125010000534204240
766015161450121012
oct6366465531367400
91086418085678576
10228052787654400
116673470a341685
12216b21a91b3680
139a33393600617
144045b571801b2
151b5729a32c0a0
hexcf69ad65ef00

228052787654400 has 432 divisors, whose sum is σ = 793199382407040. Its totient is φ = 57543085670400.

The previous prime is 228052787654359. The next prime is 228052787654407. The reversal of 228052787654400 is 4456787250822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228052787654407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299120079 + ... + 299881521.

Almost surely, 2228052787654400 is an apocalyptic number.

228052787654400 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 228052787654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396599691203520).

228052787654400 is an abundant number, since it is smaller than the sum of its proper divisors (565146594752640).

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

228052787654400 is a wasteful number, since it uses less digits than its factorization.

228052787654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762312 (or 762293 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 60.

The spelling of 228052787654400 in words is "two hundred twenty-eight trillion, fifty-two billion, seven hundred eighty-seven million, six hundred fifty-four thousand, four hundred".