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223032213303032 = 237148721431249817
BaseRepresentation
bin110010101101100010111011…
…110110001110111011111000
31002020200200010102101012000202
4302231202323312032323320
5213213124433101144112
62110203330114021332
764656355106216060
oct6255427366167370
91066620112335022
10223032213303032
1165079480a76451
1221021178b77848
13975ab02b76363
143d10b611243a0
151abb8a673b6c2
hexcad8bbd8eef8

223032213303032 has 64 divisors (see below), whose sum is σ = 478471124459520. Its totient is φ = 95476303819008.

The previous prime is 223032213302999. The next prime is 223032213303037. The reversal of 223032213303032 is 230303312230322.

It is a junction number, because it is equal to n+sod(n) for n = 223032213302986 and 223032213303004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223032213303037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177826988 + ... + 179076804.

It is an arithmetic number, because the mean of its divisors is an integer number (7476111319680).

Almost surely, 2223032213303032 is an apocalyptic number.

It is an amenable number.

223032213303032 is an abundant number, since it is smaller than the sum of its proper divisors (255438911156488).

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

223032213303032 is a wasteful number, since it uses less digits than its factorization.

223032213303032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253460 (or 1253456 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 223032213303032 its reverse (230303312230322), we get a palindrome (453335525533354).

The spelling of 223032213303032 in words is "two hundred twenty-three trillion, thirty-two billion, two hundred thirteen million, three hundred three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 56 1487 2143 2974 4286 5948 8572 10409 11896 15001 17144 20818 30002 41636 60004 83272 120008 1249817 2499634 3186641 4999268 6373282 8748719 9998536 12746564 17497438 22306487 25493128 34994876 44612974 69989752 89225948 178451896 1858477879 2678357831 3716955758 5356715662 7433911516 10713431324 13009345153 14867823032 18748504817 21426862648 26018690306 37497009634 52037380612 74994019268 104074761224 149988038536 3982718094697 7965436189394 15930872378788 27879026662879 31861744757576 55758053325758 111516106651516 223032213303032