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228141223524 = 223217372779777
BaseRepresentation
bin1101010001111001000…
…1101100111001100100
3210210212112221221220100
43110132101230321210
512214213123123044
6252450122104100
722324360255314
oct3243621547144
9723775857810
10228141223524
1188832855a25
123827004b030
131868a585126
14b083713444
155e03cd4869
hex351e46ce64

228141223524 has 36 divisors (see below), whose sum is σ = 610613276364. Its totient is φ = 71573716992.

The previous prime is 228141223501. The next prime is 228141223529. The reversal of 228141223524 is 425322141822.

228141223524 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 4 + 122 + 3 + 524 = 666.

228141223524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 180088199424 + 48053024100 = 424368^2 + 219210^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (228141223529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186389277 + ... + 186390500.

It is an arithmetic number, because the mean of its divisors is an integer number (16961479899).

Almost surely, 2228141223524 is an apocalyptic number.

It is an amenable number.

228141223524 is an abundant number, since it is smaller than the sum of its proper divisors (382472052840).

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

228141223524 is a wasteful number, since it uses less digits than its factorization.

228141223524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372779804 (or 372779799 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The spelling of 228141223524 in words is "two hundred twenty-eight billion, one hundred forty-one million, two hundred twenty-three thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 372779777 745559554 1118339331 1491119108 2236678662 3355017993 4473357324 6337256209 6710035986 12674512418 13420071972 19011768627 25349024836 38023537254 57035305881 76047074508 114070611762 228141223524