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23442227200 = 218527273
BaseRepresentation
bin10101110101010001…
…000000000000000000
32020111201200112021001
4111311101000000000
5341002202232300
614434052141344
71456630433500
oct256521000000
966451615231
1023442227200
119a3a587297
124662907854
132297896c72
1411c5525a00
1592306516a
hex575440000

23442227200 has 342 divisors, whose sum is σ = 68554719546. Its totient is φ = 7927234560.

The previous prime is 23442227191. The next prime is 23442227243. The reversal of 23442227200 is 272224432.

It can be written as a sum of positive squares in 3 ways, for example, as 1849688064 + 21592539136 = 43008^2 + 146944^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 321126364 + ... + 321126436.

Almost surely, 223442227200 is an apocalyptic number.

23442227200 is a gapful number since it is divisible by the number (20) 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 23442227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34277359773).

23442227200 is an abundant number, since it is smaller than the sum of its proper divisors (45112492346).

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

23442227200 is an frugal number, since it uses more digits than its factorization.

23442227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 28.

The spelling of 23442227200 in words is "twenty-three billion, four hundred forty-two million, two hundred twenty-seven thousand, two hundred".