Search a number
-
+
993242232 = 233231445001
BaseRepresentation
bin111011001100111…
…010110001111000
32120012221221012100
4323030322301320
54013232222412
6242320343400
733420263643
oct7314726170
92505857170
10993242232
1146a728654
12238774b60
1312aa122c8
1495caca5a
155c2e8edc
hex3b33ac78

993242232 has 48 divisors (see below), whose sum is σ = 2776812480. Its totient is φ = 320400000.

The previous prime is 993242231. The next prime is 993242279. The reversal of 993242232 is 232242399.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993242231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220269 + ... + 224732.

It is an arithmetic number, because the mean of its divisors is an integer number (57850260).

Almost surely, 2993242232 is an apocalyptic number.

It is an amenable number.

993242232 is an abundant number, since it is smaller than the sum of its proper divisors (1783570248).

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

993242232 is a wasteful number, since it uses less digits than its factorization.

993242232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445044 (or 445037 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 993242232 is about 31515.7457788960. The cubic root of 993242232 is about 997.7423173717.

It can be divided in two parts, 99 and 3242232, that added together give a triangular number (3242331 = T2546).

The spelling of 993242232 in words is "nine hundred ninety-three million, two hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 445001 890002 1335003 1780004 2670006 3560008 4005009 5340012 8010018 10680024 13795031 16020036 27590062 32040072 41385093 55180124 82770186 110360248 124155279 165540372 248310558 331080744 496621116 993242232