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2290962496 = 263121932
BaseRepresentation
bin1000100010001101…
…0101000001000000
312220122211221201211
42020203111001000
514142441244441
61015155135504
7110525600644
oct21043250100
95818757654
102290962496
11a76209039
1253b2a4594
132a682c714
1417a398c24
15d61d8a81
hex888d5040

2290962496 has 63 divisors (see below), whose sum is σ = 4721974173. Its totient is φ = 1102786560.

The previous prime is 2290962469. The next prime is 2290962533. The reversal of 2290962496 is 6942690922.

The square root of 2290962496 is 47864.

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., 555073600 + 1735888896 = 23560^2 + 41664^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11870176 + ... + 11870368.

It is an arithmetic number, because the mean of its divisors is an integer number (74951971).

Almost surely, 22290962496 is an apocalyptic number.

2290962496 is the 47864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290962496

2290962496 is an abundant number, since it is smaller than the sum of its proper divisors (2431011677).

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

2290962496 is an frugal number, since it uses more digits than its factorization.

2290962496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

The cubic root of 2290962496 is about 1318.2749304999.

Multiplying 2290962496 by its sum of digits (49), we get a square (112257162304 = 3350482).

The spelling of 2290962496 in words is "two billion, two hundred ninety million, nine hundred sixty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 193 248 386 496 772 961 992 1544 1922 1984 3088 3844 5983 6176 7688 11966 12352 15376 23932 30752 37249 47864 61504 74498 95728 148996 185473 191456 297992 370946 382912 595984 741892 1154719 1191968 1483784 2309438 2383936 2967568 4618876 5935136 9237752 11870272 18475504 35796289 36951008 71592578 73902016 143185156 286370312 572740624 1145481248 2290962496