Search a number
-
+
228299733360 = 243351719337971
BaseRepresentation
bin1101010010011110111…
…0010111100101110000
3210211021121020002112000
43110213232113211300
512220024212431420
6252513543334000
722331323500156
oct3244756274560
9724247202460
10228299733360
118890427a796
12382b5151300
13186b437352a
14b09a7b53d6
155e12b95690
hex3527b97970

228299733360 has 640 divisors, whose sum is σ = 879950822400. Its totient is φ = 54066216960.

The previous prime is 228299733329. The next prime is 228299733391. The reversal of 228299733360 is 63337992822.

228299733360 is a `hidden beast` number, since 228 + 29 + 9 + 7 + 33 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (228299733329) and next prime (228299733391).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 228299733297 and 228299733306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 235117675 + ... + 235118645.

It is an arithmetic number, because the mean of its divisors is an integer number (1374923160).

Almost surely, 2228299733360 is an apocalyptic number.

228299733360 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 228299733360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439975411200).

228299733360 is an abundant number, since it is smaller than the sum of its proper divisors (651651089040).

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

228299733360 is a wasteful number, since it uses less digits than its factorization.

228299733360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 228299733360 in words is "two hundred twenty-eight billion, two hundred ninety-nine million, seven hundred thirty-three thousand, three hundred sixty".