Search a number
-
+
223197696 = 293248437
BaseRepresentation
bin11010100110110…
…11101000000000
3120112222121200100
431103123220000
5424114311241
634051522400
75350102101
oct1523335000
9515877610
10223197696
11104a97807
12628b9400
133731a057
14219003a8
15148dc9b6
hexd4dba00

223197696 has 60 divisors (see below), whose sum is σ = 644176962. Its totient is φ = 74397696.

The previous prime is 223197691. The next prime is 223197701. The reversal of 223197696 is 696791322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (223197691) and next prime (223197701).

It can be written as a sum of positive squares in only one way, i.e., 197796096 + 25401600 = 14064^2 + 5040^2 .

It is a super-3 number, since 3×2231976963 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (223197691) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19611 + ... + 28826.

Almost surely, 2223197696 is an apocalyptic number.

It is an amenable number.

223197696 is an abundant number, since it is smaller than the sum of its proper divisors (420979266).

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

223197696 is an equidigital number, since it uses as much as digits as its factorization.

223197696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48461 (or 48442 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 223197696 is about 14939.8024083319. The cubic root of 223197696 is about 606.5918473658.

The spelling of 223197696 in words is "two hundred twenty-three million, one hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 48437 96874 145311 193748 290622 387496 435933 581244 774992 871866 1162488 1549984 1743732 2324976 3099968 3487464 4649952 6199936 6974928 9299904 12399872 13949856 18599808 24799744 27899712 37199616 55799424 74399232 111598848 223197696