Search a number
-
+
2193116724 = 2232193206311
BaseRepresentation
bin1000001010111000…
…0100111000110100
312122211201212120100
42002232010320310
513442414213344
61001342034100
7105230120211
oct20256047064
95584655510
102193116724
11a25a59067
12512578930
1328c491606
1416b3a8b08
15cc80c569
hex82b84e34

2193116724 has 36 divisors (see below), whose sum is σ = 5835487840. Its totient is φ = 692562960.

The previous prime is 2193116711. The next prime is 2193116749. The reversal of 2193116724 is 4276113912.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1602472 + ... + 1603839.

Almost surely, 22193116724 is an apocalyptic number.

It is an amenable number.

2193116724 is an abundant number, since it is smaller than the sum of its proper divisors (3642371116).

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

2193116724 is a wasteful number, since it uses less digits than its factorization.

2193116724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206340 (or 3206335 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2193116724 is about 46830.7241455863. The cubic root of 2193116724 is about 1299.2336161356.

The spelling of 2193116724 in words is "two billion, one hundred ninety-three million, one hundred sixteen thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 3206311 6412622 9618933 12825244 19237866 28856799 38475732 57713598 60919909 115427196 121839818 182759727 243679636 365519454 548279181 731038908 1096558362 2193116724