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2292649920 = 263451121743
BaseRepresentation
bin1000100010100111…
…0000111111000000
312220210000200110000
42020221300333000
514143404244140
61015255240000
7110546126361
oct21051607700
95823020400
102292649920
11a77160900
1253b979000
132a6ca07b2
1417a6b7b68
15d641da30
hex88a70fc0

2292649920 has 840 divisors, whose sum is σ = 9712189872. Its totient is φ = 510935040.

The previous prime is 2292649871. The next prime is 2292649979. The reversal of 2292649920 is 299462922.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 53317419 + ... + 53317461.

Almost surely, 22292649920 is an apocalyptic number.

2292649920 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 2292649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856094936).

2292649920 is an abundant number, since it is smaller than the sum of its proper divisors (7419539952).

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

2292649920 is a wasteful number, since it uses less digits than its factorization.

2292649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2292649920 is about 47881.6240326077. The cubic root of 2292649920 is about 1318.5985125212.

The spelling of 2292649920 in words is "two billion, two hundred ninety-two million, six hundred forty-nine thousand, nine hundred twenty".