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228392196480 = 2733571999377
BaseRepresentation
bin1101010010110100111…
…1000101100110000000
3210211112001012201002000
43110231033011212000
512220221400241410
6252531045224000
722333525432020
oct3245517054600
9724461181060
10228392196480
1188951493698
1238320102000
13186ca578636
14b0a8ba3a80
155e1ad5bdc0
hex352d3c5980

228392196480 has 512 divisors, whose sum is σ = 973109376000. Its totient is φ = 49455857664.

The previous prime is 228392196467. The next prime is 228392196497. The reversal of 228392196480 is 84691293822.

228392196480 is a `hidden beast` number, since 2 + 28 + 39 + 21 + 96 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2248552 + ... + 2347928.

It is an arithmetic number, because the mean of its divisors is an integer number (1900604250).

Almost surely, 2228392196480 is an apocalyptic number.

228392196480 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 228392196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486554688000).

228392196480 is an abundant number, since it is smaller than the sum of its proper divisors (744717179520).

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

228392196480 is a wasteful number, since it uses less digits than its factorization.

228392196480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99431 (or 99413 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 228392196480 in words is "two hundred twenty-eight billion, three hundred ninety-two million, one hundred ninety-six thousand, four hundred eighty".