Search a number
-
+
20231444640 = 2535118394567
BaseRepresentation
bin10010110101111000…
…110101100010100000
31221012222000212121110
4102311320311202200
5312413222212030
613143314023320
71314232304421
oct226570654240
957188025543
1020231444640
118642139890
123b07577b40
131ba5621624
14d9cd31648
157d62371b0
hex4b5e358a0

20231444640 has 192 divisors, whose sum is σ = 69620705280. Its totient is φ = 4897674240.

The previous prime is 20231444591. The next prime is 20231444671. The reversal of 20231444640 is 4644413202.

It is a super-2 number, since 2×202314446402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20231444598 and 20231444607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4427637 + ... + 4432203.

It is an arithmetic number, because the mean of its divisors is an integer number (362607840).

Almost surely, 220231444640 is an apocalyptic number.

20231444640 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 20231444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34810352640).

20231444640 is an abundant number, since it is smaller than the sum of its proper divisors (49389260640).

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

20231444640 is a wasteful number, since it uses less digits than its factorization.

20231444640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5435 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 20231444640 its reverse (4644413202), we get a palindrome (24875857842).

The spelling of 20231444640 in words is "twenty billion, two hundred thirty-one million, four hundred forty-four thousand, six hundred forty".