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228420796800 = 273527192931199
BaseRepresentation
bin1101010010111011110…
…0001100000110000000
3210211121001000202100010
43110232330030012000
512220301210444200
6252533550224520
722334323510620
oct3245674140600
9724531022303
10228420796800
1188966648519
12383297b5140
13187034804c1
14b0ac8ca880
155e1d60b150
hex352ef0c180

228420796800 has 1536 divisors, whose sum is σ = 971366400000. Its totient is φ = 45984153600.

The previous prime is 228420796783. The next prime is 228420796867. The reversal of 228420796800 is 8697024822.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 228420796800.

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, 1147843101 + ... + 1147843299.

It is an arithmetic number, because the mean of its divisors is an integer number (632400000).

Almost surely, 2228420796800 is an apocalyptic number.

228420796800 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 228420796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485683200000).

228420796800 is an abundant number, since it is smaller than the sum of its proper divisors (742945603200).

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

228420796800 is a wasteful number, since it uses less digits than its factorization.

228420796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 228420796800 in words is "two hundred twenty-eight billion, four hundred twenty million, seven hundred ninety-six thousand, eight hundred".