Search a number
-
+
20032263240 = 2335113137101131
BaseRepresentation
bin10010101010000001…
…000001010001001000
31220201002020102002120
4102222001001101020
5312011224410430
613111440531240
71306263266553
oct225201012110
956632212076
1020032263240
11854a765960
123a70920b20
131b73292b02
14d806c369a
157c39e0610
hex4aa041448

20032263240 has 512 divisors, whose sum is σ = 70728007680. Its totient is φ = 4492800000.

The previous prime is 20032263221. The next prime is 20032263269. The reversal of 20032263240 is 4236223002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20032263240.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152917975 + ... + 152918105.

It is an arithmetic number, because the mean of its divisors is an integer number (138140640).

Almost surely, 220032263240 is an apocalyptic number.

20032263240 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 20032263240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35364003840).

20032263240 is an abundant number, since it is smaller than the sum of its proper divisors (50695744440).

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

20032263240 is a wasteful number, since it uses less digits than its factorization.

20032263240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20032263240 its reverse (4236223002), we get a palindrome (24268486242).

The spelling of 20032263240 in words is "twenty billion, thirty-two million, two hundred sixty-three thousand, two hundred forty".