Search a number
-
+
2466431220 = 22351123473457
BaseRepresentation
bin1001001100000010…
…1100000011110100
320100220000200120110
42103000230003310
520022401244340
61044424103020
7115056214401
oct22300540364
96326020513
102466431220
111056266310
1258a004a70
13303ca7c76
141957d32a8
15e67e9680
hex9302c0f4

2466431220 has 192 divisors, whose sum is σ = 8030969856. Its totient is φ = 559595520.

The previous prime is 2466431203. The next prime is 2466431251. The reversal of 2466431220 is 221346642.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 711732 + ... + 715188.

It is an arithmetic number, because the mean of its divisors is an integer number (41827968).

Almost surely, 22466431220 is an apocalyptic number.

2466431220 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 2466431220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015484928).

2466431220 is an abundant number, since it is smaller than the sum of its proper divisors (5564538636).

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

2466431220 is a wasteful number, since it uses less digits than its factorization.

2466431220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2466431220 is about 49663.1777074323. The cubic root of 2466431220 is about 1351.1067686603.

Adding to 2466431220 its reverse (221346642), we get a palindrome (2687777862).

The spelling of 2466431220 in words is "two billion, four hundred sixty-six million, four hundred thirty-one thousand, two hundred twenty".