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224921798136 = 233371753165103
BaseRepresentation
bin1101000101111001100…
…0100100010111111000
3210111120012001012112000
43101132120210113320
512141114440020021
6251154434421000
722151525511420
oct3213630442770
9714505035460
10224921798136
1187430544a92
1237711a31760
13182965a48a9
14ac59d0d480
155cb634ab26
hex345e6245f8

224921798136 has 256 divisors, whose sum is σ = 770309222400. Its totient is φ = 59341621248.

The previous prime is 224921798111. The next prime is 224921798137. The reversal of 224921798136 is 631897129422.

224921798136 is a `hidden beast` number, since 2 + 2 + 492 + 1 + 79 + 81 + 3 + 6 = 666.

224921798136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224921798137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1279761 + ... + 1444863.

It is an arithmetic number, because the mean of its divisors is an integer number (3009020400).

Almost surely, 2224921798136 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 224921798136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385154611200).

224921798136 is an abundant number, since it is smaller than the sum of its proper divisors (545387424264).

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

224921798136 is a wasteful number, since it uses less digits than its factorization.

224921798136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165195 (or 165185 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 224921798136 in words is "two hundred twenty-four billion, nine hundred twenty-one million, seven hundred ninety-eight thousand, one hundred thirty-six".