Search a number
-
+
2240984460 = 223511131072441
BaseRepresentation
bin1000010110010010…
…1011010110001100
312210011210210202110
42011210223112030
514042143000320
61010212024020
7106351024251
oct20544532614
95704723673
102240984460
11a4aa82880
12526602010
13299381310
141738a9428
15d1b155e0
hex8592b58c

2240984460 has 192 divisors, whose sum is σ = 7443684864. Its totient is φ = 496588800.

The previous prime is 2240984419. The next prime is 2240984467. The reversal of 2240984460 is 644890422.

It is a super-2 number, since 2×22409844602 = 10044022699922983200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2240984467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 916840 + ... + 919280.

It is an arithmetic number, because the mean of its divisors is an integer number (38769192).

Almost surely, 22240984460 is an apocalyptic number.

2240984460 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 2240984460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721842432).

2240984460 is an abundant number, since it is smaller than the sum of its proper divisors (5202700404).

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

2240984460 is a wasteful number, since it uses less digits than its factorization.

2240984460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 2240984460 is about 47339.0373793131. The cubic root of 2240984460 is about 1308.6181765933.

The spelling of 2240984460 in words is "two billion, two hundred forty million, nine hundred eighty-four thousand, four hundred sixty".