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2270999025 = 36523532
BaseRepresentation
bin1000011101011100…
…1011000111110001
312212021021201000000
42013113023013301
514122333432100
61013203220213
7110164113261
oct20727130761
95767251000
102270999025
11a65a131a9
12534677669
132a265cb09
1417787d7a1
15d4593900
hex875cb1f1

2270999025 has 63 divisors (see below), whose sum is σ = 4234121329. Its totient is φ = 1207768320.

The previous prime is 2270998993. The next prime is 2270999057. The reversal of 2270999025 is 5209990722.

It is a happy number.

The square root of 2270999025 is 47655.

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

It is an interprime number because it is at equal distance from previous prime (2270998993) and next prime (2270999057).

It can be written as a sum of positive squares in 4 ways, for example, as 124344801 + 2146654224 = 11151^2 + 46332^2 .

It is not a de Polignac number, because 2270999025 - 25 = 2270998993 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6433249 + ... + 6433601.

Almost surely, 22270999025 is an apocalyptic number.

2270999025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2270999025 is the 47655-th square number.

2270999025 is the 23828-th centered octagonal number.

It is an amenable number.

2270999025 is a deficient number, since it is larger than the sum of its proper divisors (1963122304).

2270999025 is an frugal number, since it uses more digits than its factorization.

2270999025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The cubic root of 2270999025 is about 1314.4346000963.

The spelling of 2270999025 in words is "two billion, two hundred seventy million, nine hundred ninety-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 353 405 675 729 1059 1215 1765 2025 3177 3645 5295 6075 8825 9531 15885 18225 26475 28593 47655 79425 85779 124609 142965 238275 257337 373827 428895 623045 714825 1121481 1286685 1869135 2144475 3115225 3364443 5607405 6433425 9345675 10093329 16822215 28037025 30279987 50466645 84111075 90839961 151399935 252333225 454199805 756999675 2270999025