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230706292944 = 24331691516687
BaseRepresentation
bin1101011011011100101…
…0101010100011010000
3211001111022120222122110
43112313022222203100
512234441302333234
6253552432305320
722445055063651
oct3266712524320
9731438528573
10230706292944
1189929762606
12388670a2240
13189a8b17a9a
14b248261528
1560040b51e9
hex35b72aa8d0

230706292944 has 40 divisors (see below), whose sum is σ = 596179719040. Its totient is φ = 76877779968.

The previous prime is 230706292931. The next prime is 230706292963. The reversal of 230706292944 is 449292607032.

230706292944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 230706292893 and 230706292902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 606232 + ... + 910455.

It is an arithmetic number, because the mean of its divisors is an integer number (14904492976).

Almost surely, 2230706292944 is an apocalyptic number.

230706292944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230706292944 is an abundant number, since it is smaller than the sum of its proper divisors (365473426096).

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

230706292944 is a wasteful number, since it uses less digits than its factorization.

230706292944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519867 (or 1519861 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

Adding to 230706292944 its reverse (449292607032), we get a palindrome (679998899976).

The spelling of 230706292944 in words is "two hundred thirty billion, seven hundred six million, two hundred ninety-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 3169 6338 9507 12676 19014 25352 38028 50704 76056 152112 1516687 3033374 4550061 6066748 9100122 12133496 18200244 24266992 36400488 72800976 4806381103 9612762206 14419143309 19225524412 28838286618 38451048824 57676573236 76902097648 115353146472 230706292944