Search a number
-
+
228170234880 = 21037574171
BaseRepresentation
bin1101010010000000000…
…0010111110000000000
3210210221120112220000000
43110200000113300000
512214243040004010
6252453040000000
722325161665450
oct3244000276000
9723846486000
10228170234880
1188848170655
1238279900000
13186935a2103
14b087505d60
155e066157c0
hex3520017c00

228170234880 has 1408 divisors, whose sum is σ = 974573752320. Its totient is φ = 50164531200.

The previous prime is 228170234869. The next prime is 228170234881. The reversal of 228170234880 is 88432071822.

228170234880 is a `hidden beast` number, since 2 + 2 + 81 + 70 + 23 + 488 + 0 = 666.

It is a super-2 number, since 2×2281702348802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228170234881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3213665245 + ... + 3213665315.

Almost surely, 2228170234880 is an apocalyptic number.

228170234880 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 228170234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487286876160).

228170234880 is an abundant number, since it is smaller than the sum of its proper divisors (746403517440).

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

228170234880 is an frugal number, since it uses more digits than its factorization.

228170234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 228170234880 in words is "two hundred twenty-eight billion, one hundred seventy million, two hundred thirty-four thousand, eight hundred eighty".