Search a number
-
+
2023144040 = 23557438807
BaseRepresentation
bin111100010010110…
…1011101001101000
312012222220100212202
41320211223221220
513120411102130
6532430555332
7101064304061
oct17045535150
95188810782
102023144040
11949015075
12485668b48
132631bb868
141529a1568
15bc935145
hex7896ba68

2023144040 has 32 divisors (see below), whose sum is σ = 4553383680. Its totient is φ = 809024832.

The previous prime is 2023144033. The next prime is 2023144049. The reversal of 2023144040 is 404413202.

It is a super-2 number, since 2×20231440402 = 8186223613175043200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2023144049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225317 + ... + 234123.

It is an arithmetic number, because the mean of its divisors is an integer number (142293240).

Almost surely, 22023144040 is an apocalyptic number.

2023144040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023144040 is an abundant number, since it is smaller than the sum of its proper divisors (2530239640).

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

2023144040 is a wasteful number, since it uses less digits than its factorization.

2023144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14561 (or 14557 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2023144040 is about 44979.3734949699. The cubic root of 2023144040 is about 1264.7623668988.

Adding to 2023144040 its reverse (404413202), we get a palindrome (2427557242).

The spelling of 2023144040 in words is "two billion, twenty-three million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 5743 8807 11486 17614 22972 28715 35228 44035 45944 57430 70456 88070 114860 176140 229720 352280 50578601 101157202 202314404 252893005 404628808 505786010 1011572020 2023144040