Search a number
-
+
402203025 = 3252721912
BaseRepresentation
bin10111111110010…
…010000110010001
31001000211000211100
4113332102012101
51310430444100
6103524335013
712652445400
oct2776220621
91030730740
10402203025
111970400a4
12b2844469
1365433273
143b5b9637
152549b400
hex17f92191

402203025 has 81 divisors (see below), whose sum is σ = 842415483. Its totient is φ = 182901600.

The previous prime is 402203003. The next prime is 402203041. The reversal of 402203025 is 520302204.

The square root of 402203025 is 20055.

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., 144793089 + 257409936 = 12033^2 + 16044^2 .

It is not a de Polignac number, because 402203025 - 25 = 402202993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 402202989 and 402203007.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2105680 + ... + 2105870.

Almost surely, 2402203025 is an apocalyptic number.

402203025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

402203025 is the 20055-th square number.

402203025 is the 10028-th centered octagonal number.

It is an amenable number.

402203025 is an abundant number, since it is smaller than the sum of its proper divisors (440212458).

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

402203025 is a wasteful number, since it uses less digits than its factorization.

402203025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The cubic root of 402203025 is about 738.1564929111.

Adding to 402203025 its reverse (520302204), we get a palindrome (922505229).

The spelling of 402203025 in words is "four hundred two million, two hundred three thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 191 225 245 315 441 525 573 735 955 1225 1337 1575 1719 2205 2865 3675 4011 4775 6685 8595 9359 11025 12033 14325 20055 28077 33425 36481 42975 46795 60165 84231 100275 109443 140385 182405 233975 255367 300825 328329 421155 547215 701925 766101 912025 1276835 1641645 1787569 2105775 2298303 2736075 3830505 5362707 6384175 8208225 8937845 11491515 16088121 19152525 26813535 44689225 57457575 80440605 134067675 402203025