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230158169280 = 26355131759227
BaseRepresentation
bin1101011001011001111…
…1101111010011000000
3211000002010012102100000
43112112133233103000
512232330442404110
6253422212200000
722425351105534
oct3262637572300
9730063172300
10230158169280
1189678317146
1238733609000
131891c3b3660
14b1d553dbc4
155ec0de31c0
hex35967ef4c0

230158169280 has 1344 divisors, whose sum is σ = 956187348480. Its totient is φ = 52187037696.

The previous prime is 230158169279. The next prime is 230158169281. The reversal of 230158169280 is 82961851032.

230158169280 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 581 + 69 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230158169279) and next prime (230158169281).

It is a super-2 number, since 2×2301581692802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (230158169281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1013912527 + ... + 1013912753.

It is an arithmetic number, because the mean of its divisors is an integer number (711448920).

Almost surely, 2230158169280 is an apocalyptic number.

230158169280 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 230158169280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478093674240).

230158169280 is an abundant number, since it is smaller than the sum of its proper divisors (726029179200).

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

230158169280 is a wasteful number, since it uses less digits than its factorization.

230158169280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 230158169280 in words is "two hundred thirty billion, one hundred fifty-eight million, one hundred sixty-nine thousand, two hundred eighty".