Search a number
-
+
23224300000040 = 2351734153382353
BaseRepresentation
bin1010100011111010101000…
…01001101101001100101000
310001020012222101202100222202
411101331110021231030220
511021001331300000130
6121221032433035332
74614620542563116
oct521752411551450
9101205871670882
1023224300000040
117444408991677
1227310370b5b48
13cc6071629c49
145a40c2644ab6
152a41b604e145
hex151f5426d328

23224300000040 has 32 divisors (see below), whose sum is σ = 55328479413480. Its totient is φ = 8743265882112.

The previous prime is 23224300000021. The next prime is 23224300000061. The reversal of 23224300000040 is 4000000342232.

It can be written as a sum of positive squares in 4 ways, for example, as 20806169258884 + 2418130741156 = 4561378^2 + 1555034^2 .

It is a super-2 number, since 2×232243000000402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23224299999958 and 23224300000021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17076690497 + ... + 17076691856.

Almost surely, 223224300000040 is an apocalyptic number.

23224300000040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23224300000040 is an abundant number, since it is smaller than the sum of its proper divisors (32104179413440).

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

23224300000040 is a wasteful number, since it uses less digits than its factorization.

23224300000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34153382381 (or 34153382377 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 23224300000040 its reverse (4000000342232), we get a palindrome (27224300342272).

The spelling of 23224300000040 in words is "twenty-three trillion, two hundred twenty-four billion, three hundred million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 34153382353 68306764706 136613529412 170766911765 273227058824 341533823530 580607500001 683067647060 1161215000002 1366135294120 2322430000004 2903037500005 4644860000008 5806075000010 11612150000020 23224300000040