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228277433952 = 25332331370561
BaseRepresentation
bin1101010010011001100…
…1010011011001100000
3210211020001021011111000
43110212121103121200
512220003010341302
6252511425352000
722330633113261
oct3244631233140
9724201234430
10228277433952
11888a2729927
12382a9798600
13186ac866609
14b09784c968
155e10c3d31c
hex3526653660

228277433952 has 192 divisors, whose sum is σ = 717170872320. Its totient is φ = 70436044800.

The previous prime is 228277433939. The next prime is 228277433977. The reversal of 228277433952 is 259334772822.

228277433952 is a `hidden beast` number, since 228 + 27 + 7 + 4 + 3 + 395 + 2 = 666.

It is a super-2 number, since 2×2282774339522 (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 430752 + ... + 801312.

It is an arithmetic number, because the mean of its divisors is an integer number (3735264960).

Almost surely, 2228277433952 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 228277433952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358585436160).

228277433952 is an abundant number, since it is smaller than the sum of its proper divisors (488893438368).

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

228277433952 is a wasteful number, since it uses less digits than its factorization.

228277433952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370634 (or 370620 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 228277433952 in words is "two hundred twenty-eight billion, two hundred seventy-seven million, four hundred thirty-three thousand, nine hundred fifty-two".