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223121025 = 32522813529
BaseRepresentation
bin11010100110010…
…00111010000001
3120112211201111200
431103020322001
5424104333100
634050131413
75346332421
oct1523107201
9515751450
10223121025
11104a45146
1262880b69
13372c119a
14218c0481
15148c4e00
hexd4c8e81

223121025 has 36 divisors (see below), whose sum is σ = 401170380. Its totient is φ = 118540800.

The previous prime is 223121011. The next prime is 223121027. The reversal of 223121025 is 520121322.

It can be written as a sum of positive squares in 6 ways, for example, as 18173169 + 204947856 = 4263^2 + 14316^2 .

It is not a de Polignac number, because 223121025 - 211 = 223118977 is a prime.

It is a super-3 number, since 3×2231210253 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223120989 and 223121007.

It is not an unprimeable number, because it can be changed into a prime (223121027) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61461 + ... + 64989.

Almost surely, 2223121025 is an apocalyptic number.

223121025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

223121025 is a deficient number, since it is larger than the sum of its proper divisors (178049355).

223121025 is a wasteful number, since it uses less digits than its factorization.

223121025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 223121025 is about 14937.2361901391. The cubic root of 223121025 is about 606.5223822970.

Adding to 223121025 its reverse (520121322), we get a palindrome (743242347).

The spelling of 223121025 in words is "two hundred twenty-three million, one hundred twenty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 281 843 1405 2529 3529 4215 7025 10587 12645 17645 21075 31761 52935 63225 88225 158805 264675 794025 991649 2974947 4958245 8924841 14874735 24791225 44624205 74373675 223121025