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228282969600 = 2933527197479
BaseRepresentation
bin1101010010011010111…
…0011010111000000000
3210211020102200101222000
43110212232122320000
512220010420011400
6252512144144000
722331031140220
oct3244656327000
9724212611860
10228282969600
11888a586a944
12382ab608000
13186b0a5414a
14b098490080
155e11483600
hex3526b9ae00

228282969600 has 960 divisors, whose sum is σ = 964481126400. Its totient is φ = 51805716480.

The previous prime is 228282969589. The next prime is 228282969617. The reversal of 228282969600 is 6969282822.

228282969600 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 8 + 29 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2282829696002 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 476582161 + ... + 476582639.

It is an arithmetic number, because the mean of its divisors is an integer number (1004667840).

Almost surely, 2228282969600 is an apocalyptic number.

228282969600 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 228282969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482240563200).

228282969600 is an abundant number, since it is smaller than the sum of its proper divisors (736198156800).

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

228282969600 is a wasteful number, since it uses less digits than its factorization.

228282969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 228282969600 in words is "two hundred twenty-eight billion, two hundred eighty-two million, nine hundred sixty-nine thousand, six hundred".