Search a number
-
+
228454324992 = 2833378910037
BaseRepresentation
bin1101010011000011110…
…0000101101100000000
3210211200101010011101000
43110300330011230000
512220333301344432
6252541145012000
722335211502505
oct3246074055400
9724611104330
10228454324992
1188983568773
1238338a84000
131870a3bc37a
14b0b31374ac
155e2153057c
hex3530f05b00

228454324992 has 288 divisors, whose sum is σ = 701704382400. Its totient is φ = 73253486592.

The previous prime is 228454324991. The next prime is 228454324999. The reversal of 228454324992 is 299423454822.

228454324992 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 543 + 2 + 4 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (228454324991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22756198 + ... + 22766234.

It is an arithmetic number, because the mean of its divisors is an integer number (2436473550).

Almost surely, 2228454324992 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 228454324992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350852191200).

228454324992 is an abundant number, since it is smaller than the sum of its proper divisors (473250057408).

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

228454324992 is a wasteful number, since it uses less digits than its factorization.

228454324992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10188 (or 10168 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 228454324992 in words is "two hundred twenty-eight billion, four hundred fifty-four million, three hundred twenty-four thousand, nine hundred ninety-two".