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2205291060 = 2232573231553
BaseRepresentation
bin1000001101110010…
…0001001000110100
312200200122101121200
42003130201020310
514004023303220
61002455012500
7105435444000
oct20334411064
95620571550
102205291060
11a319138a5
1251666a130
13291b64a6b
1416cc57700
15cd914890
hex83721234

2205291060 has 288 divisors, whose sum is σ = 8145446400. Its totient is φ = 481840128.

The previous prime is 2205291047. The next prime is 2205291103. The reversal of 2205291060 is 601925022.

It is a super-3 number, since 3×22052910603 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1419244 + ... + 1420796.

It is an arithmetic number, because the mean of its divisors is an integer number (28282800).

Almost surely, 22205291060 is an apocalyptic number.

2205291060 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 2205291060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072723200).

2205291060 is an abundant number, since it is smaller than the sum of its proper divisors (5940155340).

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

2205291060 is a wasteful number, since it uses less digits than its factorization.

2205291060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2205291060 is about 46960.5266154459. The cubic root of 2205291060 is about 1301.6332647305.

The spelling of 2205291060 in words is "two billion, two hundred five million, two hundred ninety-one thousand, sixty".