Search a number
-
+
2222499840 = 21135116577
BaseRepresentation
bin1000010001111000…
…1010100000000000
312201220000200121220
42010132022200000
514022424443330
61004311515040
7106034636241
oct20436124000
95656020556
102222499840
11a405a8030
12520388a80
132955ab882
14171256cc8
15d01b3710
hex8478a800

2222499840 has 192 divisors, whose sum is σ = 7757830080. Its totient is φ = 538705920.

The previous prime is 2222499809. The next prime is 2222499847. The reversal of 2222499840 is 489942222.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2222499792 and 2222499801.

It is not an unprimeable number, because it can be changed into a prime (2222499847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334632 + ... + 341208.

It is an arithmetic number, because the mean of its divisors is an integer number (40405365).

Almost surely, 22222499840 is an apocalyptic number.

2222499840 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 2222499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878915040).

2222499840 is an abundant number, since it is smaller than the sum of its proper divisors (5535330240).

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

2222499840 is a wasteful number, since it uses less digits than its factorization.

2222499840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6618 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 2222499840 is about 47143.3965683424. The cubic root of 2222499840 is about 1305.0102199696.

The spelling of 2222499840 in words is "two billion, two hundred twenty-two million, four hundred ninety-nine thousand, eight hundred forty".