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228444042645504 = 212357231612477
BaseRepresentation
bin110011111100010011000110…
…000000110101000000000000
31002221212001000010001112200000
4303330103012000311000000
5214420311344404124004
62125505424442400000
766055352223511200
oct6374230600650000
91087761003045600
10228444042645504
11668756356053a4
1221755b9b800000
139a6124725aa8a
14405aa71b46400
151b62549116c39
hexcfc4c6035000

228444042645504 has 1872 divisors, whose sum is σ = 835518624385536. Its totient is φ = 62103689625600.

The previous prime is 228444042645499. The next prime is 228444042645541. The reversal of 228444042645504 is 405546240444822.

228444042645504 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 4 + 40 + 42 + 6 + 4 + 550 + 4 = 666.

It is a super-2 number, since 2×2284440426455042 (a number of 30 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 92226095914 + ... + 92226098390.

It is an arithmetic number, because the mean of its divisors is an integer number (446324051488).

Almost surely, 2228444042645504 is an apocalyptic number.

228444042645504 is a gapful number since it is divisible by the number (24) 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 228444042645504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417759312192768).

228444042645504 is an abundant number, since it is smaller than the sum of its proper divisors (607074581740032).

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

228444042645504 is an equidigital number, since it uses as much as digits as its factorization.

228444042645504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2622 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 39321600, while the sum is 54.

The spelling of 228444042645504 in words is "two hundred twenty-eight trillion, four hundred forty-four billion, forty-two million, six hundred forty-five thousand, five hundred four".