Search a number
-
+
232914134880 = 25335722933359
BaseRepresentation
bin1101100011101011000…
…0111010011101100000
3211021012012000222102000
43120322300322131200
512304002004304010
6254555502124000
722553554323630
oct3307260723540
9737165028360
10232914134880
118a861a58969
1239182580600
1318c6b36392b
14b3b75806c0
1560d2d307c0
hex363ac3a760

232914134880 has 384 divisors, whose sum is σ = 932340326400. Its totient is φ = 53198456832.

The previous prime is 232914134879. The next prime is 232914134917. The reversal of 232914134880 is 88431419232.

232914134880 is a `hidden beast` number, since 2 + 3 + 29 + 141 + 3 + 488 + 0 = 666.

232914134880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2329141348802 (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 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 63 ways as a sum of consecutive naturals, for example, 69338641 + ... + 69341999.

It is an arithmetic number, because the mean of its divisors is an integer number (2427969600).

Almost surely, 2232914134880 is an apocalyptic number.

232914134880 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 232914134880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466170163200).

232914134880 is an abundant number, since it is smaller than the sum of its proper divisors (699426191520).

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

232914134880 is a wasteful number, since it uses less digits than its factorization.

232914134880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 232914134880 in words is "two hundred thirty-two billion, nine hundred fourteen million, one hundred thirty-four thousand, eight hundred eighty".