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233222976 = 263476427
BaseRepresentation
bin11011110011010…
…11001101000000
3121020211221210000
431321223031000
5434201113401
635050440000
75531235240
oct1571531500
9536757700
10233222976
1110a714968
1266133000
133941a27c
1422d8db20
151571d186
hexde6b340

233222976 has 140 divisors (see below), whose sum is σ = 790232608. Its totient is φ = 66624768.

The previous prime is 233222971. The next prime is 233222993. The reversal of 233222976 is 679222332.

233222976 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 233222976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233222971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33075 + ... + 39501.

Almost surely, 2233222976 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 233222976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395116304).

233222976 is an abundant number, since it is smaller than the sum of its proper divisors (557009632).

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

233222976 is an equidigital number, since it uses as much as digits as its factorization.

233222976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6458 (or 6439 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 233222976 is about 15271.6395976333. The cubic root of 233222976 is about 615.5411774216.

The spelling of 233222976 in words is "two hundred thirty-three million, two hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 6427 9072 12096 12854 18144 19281 25708 36288 38562 44989 51416 57843 77124 89978 102832 115686 134967 154248 173529 179956 205664 231372 269934 308496 347058 359912 404901 411328 462744 520587 539868 616992 694116 719824 809802 925488 1041174 1079736 1214703 1233984 1388232 1439648 1619604 1850976 2082348 2159472 2429406 2776464 2879296 3239208 3644109 3701952 4164696 4318944 4858812 5552928 6478416 7288218 8329392 8637888 9717624 11105856 12956832 14576436 16658784 19435248 25913664 29152872 33317568 38870496 58305744 77740992 116611488 233222976