Search a number
-
+
228315975552 = 27327132121433
BaseRepresentation
bin1101010010100010110…
…0010100111110000000
3210211022201210021121200
43110220230110332000
512220042342204202
6252515323421200
722331611525410
oct3245054247600
9724281707550
10228315975552
1188912463795
12382ba684800
13186b783c3b2
14b09ca02640
155e14302e1c
hex3528b14f80

228315975552 has 192 divisors, whose sum is σ = 751464036960. Its totient is φ = 65180712960.

The previous prime is 228315975541. The next prime is 228315975557. The reversal of 228315975552 is 255579513822.

228315975552 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 15 + 9 + 75 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2283159755522 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228315975557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10641828 + ... + 10663260.

Almost surely, 2228315975552 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 228315975552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375732018480).

228315975552 is an abundant number, since it is smaller than the sum of its proper divisors (523148061408).

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

228315975552 is a wasteful number, since it uses less digits than its factorization.

228315975552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22781 (or 22766 counting only the distinct ones).

The product of its digits is 7560000, while the sum is 54.

The spelling of 228315975552 in words is "two hundred twenty-eight billion, three hundred fifteen million, nine hundred seventy-five thousand, five hundred fifty-two".