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228241243625472 = 211337113312461
BaseRepresentation
bin110011111001010110001110…
…001111111101100000000000
31002221010122112200220220112000
4303321112032033331200000
5214404001031332003342
62125232325123504000
766034612534340010
oct6371261617754000
91087118480826460
10228241243625472
11667a7627876000
1221722822828000
139a4809809573c
144050d14017c40
151b5c12a09d44c
hexcf958e3fd800

228241243625472 has 2304 divisors, whose sum is σ = 880108438809600. Its totient is φ = 57246621696000.

The previous prime is 228241243625429. The next prime is 228241243625497. The reversal of 228241243625472 is 274526342142822.

228241243625472 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 4 + 1 + 2 + 4 + 3 + 625 + 4 + 7 + 2 = 666.

228241243625472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 495100311322 + ... + 495100311782.

It is an arithmetic number, because the mean of its divisors is an integer number (381991509900).

Almost surely, 2228241243625472 is an apocalyptic number.

228241243625472 is a gapful number since it is divisible by the number (22) 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 228241243625472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440054219404800).

228241243625472 is an abundant number, since it is smaller than the sum of its proper divisors (651867195184128).

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

228241243625472 is an equidigital number, since it uses as much as digits as its factorization.

228241243625472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 515 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 54.

The spelling of 228241243625472 in words is "two hundred twenty-eight trillion, two hundred forty-one billion, two hundred forty-three million, six hundred twenty-five thousand, four hundred seventy-two".