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231423350400 = 27345211233529
BaseRepresentation
bin1101011110000111101…
…0000001011010000000
3211010100021212021120000
43113201322001122000
512242423334203100
6254151525320000
722501613010324
oct3274172013200
9733307767500
10231423350400
118a1674a2480
1238a27266000
1318a9154a138
14b2b5599984
156047006900
hex35e1e81680

231423350400 has 960 divisors, whose sum is σ = 972421243200. Its totient is φ = 53648179200.

The previous prime is 231423350359. The next prime is 231423350413. The reversal of 231423350400 is 4053324132.

231423350400 is a `hidden beast` number, since 23 + 1 + 4 + 233 + 5 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2314233504002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65575836 + ... + 65579364.

It is an arithmetic number, because the mean of its divisors is an integer number (1012938795).

Almost surely, 2231423350400 is an apocalyptic number.

231423350400 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 231423350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486210621600).

231423350400 is an abundant number, since it is smaller than the sum of its proper divisors (740997892800).

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

231423350400 is a wasteful number, since it uses less digits than its factorization.

231423350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3573 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 231423350400 its reverse (4053324132), we get a palindrome (235476674532).

The spelling of 231423350400 in words is "two hundred thirty-one billion, four hundred twenty-three million, three hundred fifty thousand, four hundred".