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2205040992 = 2537111991499
BaseRepresentation
bin1000001101101110…
…0100000101100000
312200200011200120220
42003123210011200
514003442302432
61002445403040
7105433352640
oct20333440540
95620150526
102205040992
11a31762a30
12516569480
13291aa7cab
1416cbd0520
15cd8b572c
hex836e4160

2205040992 has 192 divisors, whose sum is σ = 7257600000. Its totient is φ = 569479680.

The previous prime is 2205040973. The next prime is 2205041021. The reversal of 2205040992 is 2990405022.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1470259 + ... + 1471757.

It is an arithmetic number, because the mean of its divisors is an integer number (37800000).

Almost surely, 22205040992 is an apocalyptic number.

2205040992 is a gapful number since it is divisible by the number (22) 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 2205040992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800000).

2205040992 is an abundant number, since it is smaller than the sum of its proper divisors (5052559008).

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

2205040992 is a wasteful number, since it uses less digits than its factorization.

2205040992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2205040992 is about 46957.8640059362. The cubic root of 2205040992 is about 1301.5840634955.

The spelling of 2205040992 in words is "two billion, two hundred five million, forty thousand, nine hundred ninety-two".