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2090226961 = 13123492
BaseRepresentation
bin111110010010110…
…0101010100010001
312101200010112100101
41330211211110101
513240044230321
6543224452401
7102540431104
oct17445452421
95350115311
102090226961
119829734a9
124a401a101
132740786b4
1415b86473b
15c3786791
hex7c965511

2090226961 has 9 divisors (see below), whose sum is σ = 2112357243. Its totient is φ = 2068327560.

The previous prime is 2090226899. The next prime is 2090226967. The reversal of 2090226961 is 1696220902.

The square root of 2090226961 is 45719.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1534210561 + 556016400 = 39169^2 + 23580^2 .

It is not a de Polignac number, because 2090226961 - 213 = 2090218769 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2090226961.

It is not an unprimeable number, because it can be changed into a prime (2090226967) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5989015 + ... + 5989363.

Almost surely, 22090226961 is an apocalyptic number.

2090226961 is the 45719-th square number.

2090226961 is the 22860-th centered octagonal number.

It is an amenable number.

2090226961 is a deficient number, since it is larger than the sum of its proper divisors (22130282).

2090226961 is an frugal number, since it uses more digits than its factorization.

2090226961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The cubic root of 2090226961 is about 1278.5895435707.

The spelling of 2090226961 in words is "two billion, ninety million, two hundred twenty-six thousand, nine hundred sixty-one".

Divisors: 1 131 349 17161 45719 121801 5989189 15955931 2090226961