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229810197012480 = 213365747149157
BaseRepresentation
bin110100010000001011011011…
…001010001010000000000000
31010010200122021202112001000000
4310100023123022022000000
5220110202240413344410
62132433202544000000
766256144626154260
oct6420133312120000
91103618252461000
10229810197012480
1167251a5908a647
122193690a000000
139b30015b48956
1440a6c312977a0
151b87d55c1adc0
hexd102db28a000

229810197012480 has 3136 divisors, whose sum is σ = 977787349171200. Its totient is φ = 50740133363712.

The previous prime is 229810197012419. The next prime is 229810197012481. The reversal of 229810197012480 is 84210791018922.

229810197012480 is a `hidden beast` number, since 2 + 2 + 9 + 81 + 0 + 1 + 9 + 70 + 12 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (229810197012481) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1463759216562 + ... + 1463759216718.

Almost surely, 2229810197012480 is an apocalyptic number.

229810197012480 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 229810197012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488893674585600).

229810197012480 is an abundant number, since it is smaller than the sum of its proper divisors (747977152158720).

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

229810197012480 is an equidigital number, since it uses as much as digits as its factorization.

229810197012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 229810197012480 in words is "two hundred twenty-nine trillion, eight hundred ten billion, one hundred ninety-seven million, twelve thousand, four hundred eighty".