Search a number
-
+
663902200 = 235213318237
BaseRepresentation
bin100111100100100…
…101011111111000
31201021020201121101
4213210211133320
52324424332300
6145513421144
722311034633
oct4744453770
91637221541
10663902200
11310834605
1216640a7b4
13a7710a50
146425cc1a
153d441b6a
hex279257f8

663902200 has 96 divisors (see below), whose sum is σ = 1716140160. Its totient is φ = 237196800.

The previous prime is 663902179. The next prime is 663902201. The reversal of 663902200 is 2209366.

It is a super-2 number, since 2×6639022002 = 881532262329680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663902201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 76482 + ... + 84718.

It is an arithmetic number, because the mean of its divisors is an integer number (17876460).

Almost surely, 2663902200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663902200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858070080).

663902200 is an abundant number, since it is smaller than the sum of its proper divisors (1052237960).

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

663902200 is a wasteful number, since it uses less digits than its factorization.

663902200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8297 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 663902200 is about 25766.2996955325. The cubic root of 663902200 is about 872.3712998072.

The spelling of 663902200 in words is "six hundred sixty-three million, nine hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 124 130 155 200 248 260 310 325 403 520 620 650 775 806 1240 1300 1550 1612 2015 2600 3100 3224 4030 6200 8060 8237 10075 16120 16474 20150 32948 40300 41185 65896 80600 82370 107081 164740 205925 214162 255347 329480 411850 428324 510694 535405 823700 856648 1021388 1070810 1276735 1647400 2042776 2141620 2553470 2677025 3319511 4283240 5106940 5354050 6383675 6639022 10213880 10708100 12767350 13278044 16597555 21416200 25534700 26556088 33195110 51069400 66390220 82987775 132780440 165975550 331951100 663902200