Search a number
-
+
3023222202000 = 24325371113198831
BaseRepresentation
bin101011111111100110000…
…101011101111010010000
3101201000110112221100212200
4223333212011131322100
5344013024340431000
610232503223523200
7431264156500650
oct53774605357220
911630415840780
103023222202000
11a66161132860
12409b06bb9500
1318c11c94ab30
14a6479106360
15539932e6500
hex2bfe615de90

3023222202000 has 1920 divisors, whose sum is σ = 14925124730880. Its totient is φ = 549296640000.

The previous prime is 3023222201983. The next prime is 3023222202067. The reversal of 3023222202000 is 2022223203.

3023222202000 is a `hidden beast` number, since 302 + 322 + 2 + 20 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 342337585 + ... + 342346415.

It is an arithmetic number, because the mean of its divisors is an integer number (7773502464).

Almost surely, 23023222202000 is an apocalyptic number.

3023222202000 is a gapful number since it is divisible by the number (30) 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 3023222202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7462562365440).

3023222202000 is an abundant number, since it is smaller than the sum of its proper divisors (11901902528880).

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

3023222202000 is a wasteful number, since it uses less digits than its factorization.

3023222202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8910 (or 8891 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 3023222202000 its reverse (2022223203), we get a palindrome (3025244425203).

The spelling of 3023222202000 in words is "three trillion, twenty-three billion, two hundred twenty-two million, two hundred two thousand".