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223885248048 = 24347116136779
BaseRepresentation
bin1101000010000010011…
…0011100011000110000
3210101212221121000010000
43100200212130120300
512132004110414143
6250503525510000
722114041131460
oct3204046343060
9711787530100
10223885248048
1186a49427620
1237482872300
131815c90b247
14ab9c3a9ba0
155c55349bd3
hex342099c630

223885248048 has 400 divisors, whose sum is σ = 821148514560. Its totient is φ = 57197145600.

The previous prime is 223885248047. The next prime is 223885248121. The reversal of 223885248048 is 840842588322.

223885248048 is a `hidden beast` number, since 2 + 2 + 38 + 8 + 524 + 80 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 223885247985 and 223885248003.

It is not an unprimeable number, because it can be changed into a prime (223885248047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6068923 + ... + 6105701.

Almost surely, 2223885248048 is an apocalyptic number.

223885248048 is a gapful number since it is divisible by the number (28) 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 223885248048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410574257280).

223885248048 is an abundant number, since it is smaller than the sum of its proper divisors (597263266512).

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

223885248048 is a wasteful number, since it uses less digits than its factorization.

223885248048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36878 (or 36863 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 223885248048 in words is "two hundred twenty-three billion, eight hundred eighty-five million, two hundred forty-eight thousand, forty-eight".