Search a number
-
+
231390430272 = 2633179853877
BaseRepresentation
bin1101011101111111110…
…0011100010001000000
3211010020222220202122000
43113133330130101000
512242341422232042
6254144351544000
722501033130301
oct3273774342100
9733228822560
10231390430272
118a14a958061
1238a1822b000
1318a87791c81
14b2b106a7a8
1560441a274c
hex35dff1c440

231390430272 has 224 divisors, whose sum is σ = 685628092800. Its totient is φ = 76521977856.

The previous prime is 231390430261. The next prime is 231390430301. The reversal of 231390430272 is 272034093132.

231390430272 is a `hidden beast` number, since 23 + 139 + 0 + 430 + 2 + 72 = 666.

It is a super-2 number, since 2×2313904302722 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263842698 + ... + 263843574.

It is an arithmetic number, because the mean of its divisors is an integer number (3060839700).

Almost surely, 2231390430272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231390430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342814046400).

231390430272 is an abundant number, since it is smaller than the sum of its proper divisors (454237662528).

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

231390430272 is a wasteful number, since it uses less digits than its factorization.

231390430272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 231390430272 in words is "two hundred thirty-one billion, three hundred ninety million, four hundred thirty thousand, two hundred seventy-two".