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228211490052 = 2232721312777793
BaseRepresentation
bin1101010010001001110…
…1101111110100000100
3210211001110011212110100
43110202131233310010
512214334120140202
6252501112124100
722326202442100
oct3244235576404
9724043155410
10228211490052
1188869489237
123828b696630
131869bcb8060
14b08cba4900
155e0a06441c
hex352276fd04

228211490052 has 216 divisors, whose sum is σ = 723328436376. Its totient is φ = 60132796416.

The previous prime is 228211490029. The next prime is 228211490071. The reversal of 228211490052 is 250094112822.

228211490052 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 4 ways, for example, as 70748552196 + 157462937856 = 265986^2 + 396816^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 228211489989 and 228211490016.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 29280268 + ... + 29288060.

It is an arithmetic number, because the mean of its divisors is an integer number (3348742761).

Almost surely, 2228211490052 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 228211490052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361664218188).

228211490052 is an abundant number, since it is smaller than the sum of its proper divisors (495116946324).

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

228211490052 is a wasteful number, since it uses less digits than its factorization.

228211490052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9107 (or 9095 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 228211490052 in words is "two hundred twenty-eight billion, two hundred eleven million, four hundred ninety thousand, fifty-two".