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224138930000 = 245422413893
BaseRepresentation
bin1101000010111110111…
…0001010011101010000
3210102112121221101022212
43100233232022131100
512133014031230000
6250545031051252
722123241320136
oct3205756123520
9712477841285
10224138930000
1187069645627
1237533810b28
13181a033c7cb
14abc3d63756
155c6c759c35
hex342fb8a750

224138930000 has 50 divisors (see below), whose sum is σ = 542662787634. Its totient is φ = 89655568000.

The previous prime is 224138929999. The next prime is 224138930021. The reversal of 224138930000 is 39831422.

It is a happy number.

224138930000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 170357609536 + 53781320464 = 412744^2 + 231908^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 11196947 + ... + 11216946.

Almost surely, 2224138930000 is an apocalyptic number.

224138930000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224138930000 is an abundant number, since it is smaller than the sum of its proper divisors (318523857634).

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

224138930000 is an equidigital number, since it uses as much as digits as its factorization.

224138930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22413921 (or 22413900 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 224138930000 in words is "two hundred twenty-four billion, one hundred thirty-eight million, nine hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 22413893 44827786 89655572 112069465 179311144 224138930 358622288 448277860 560347325 896555720 1120694650 1793111440 2241389300 2801736625 4482778600 5603473250 8965557200 11206946500 14008683125 22413893000 28017366250 44827786000 56034732500 112069465000 224138930000