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229929997698240 = 26357523127951151
BaseRepresentation
bin110100010001111010111111…
…110101100000010011000000
31010011010002111212122102202120
4310101322333311200103000
5220114133113402320430
62133004214400244240
766300615455166510
oct6421727765402300
91104102455572676
10229929997698240
116729884548aa54
1221955b83010680
139b3b3c8958ba8
1440ac957d59840
151b8b018450610
hexd11ebfd604c0

229929997698240 has 448 divisors, whose sum is σ = 836582595624960. Its totient is φ = 52412902502400.

The previous prime is 229929997698211. The next prime is 229929997698241. The reversal of 229929997698240 is 42896799929922.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (229929997698241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4495096665 + ... + 4495147815.

Almost surely, 2229929997698240 is an apocalyptic number.

229929997698240 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 229929997698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418291297812480).

229929997698240 is an abundant number, since it is smaller than the sum of its proper divisors (606652597926720).

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

229929997698240 is a wasteful number, since it uses less digits than its factorization.

229929997698240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52980 (or 52970 counting only the distinct ones).

The product of its (nonzero) digits is 11428107264, while the sum is 87.

The spelling of 229929997698240 in words is "two hundred twenty-nine trillion, nine hundred twenty-nine billion, nine hundred ninety-seven million, six hundred ninety-eight thousand, two hundred forty".