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23000355 = 345721961
BaseRepresentation
bin101011110111…
…1010100100011
31121021112120000
41113233110203
521342002410
62140551043
7366333300
oct127572443
947245500
1023000355
1111a8a564
127852483
1349c3ca1
1430aa0a7
152044dc0
hex15ef523

23000355 has 120 divisors (see below), whose sum is σ = 51313680. Its totient is φ = 9797760.

The previous prime is 23000323. The next prime is 23000377. The reversal of 23000355 is 55300032.

23000355 = T305 + T306 + ... + T549.

It is not a de Polignac number, because 23000355 - 25 = 23000323 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 377025 + ... + 377085.

It is an arithmetic number, because the mean of its divisors is an integer number (427614).

Almost surely, 223000355 is an apocalyptic number.

23000355 is an abundant number, since it is smaller than the sum of its proper divisors (28313325).

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

23000355 is a wasteful number, since it uses less digits than its factorization.

23000355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 23000355 is about 4795.8685344784. The cubic root of 23000355 is about 284.3881611266.

Adding to 23000355 its reverse (55300032), we get a palindrome (78300387).

The spelling of 23000355 in words is "twenty-three million, three hundred fifty-five", and thus it is an aban number.

Divisors: 1 3 5 7 9 15 19 21 27 35 45 49 57 61 63 81 95 105 133 135 147 171 183 189 245 285 305 315 399 405 427 441 513 549 567 665 735 855 915 931 945 1159 1197 1281 1323 1539 1647 1995 2135 2205 2565 2745 2793 2835 2989 3477 3591 3843 3969 4655 4941 5795 5985 6405 6615 7695 8113 8235 8379 8967 10431 10773 11529 13965 14945 17385 17955 19215 19845 24339 24705 25137 26901 31293 34587 40565 41895 44835 52155 53865 56791 57645 73017 75411 80703 93879 121695 125685 134505 156465 170373 172935 219051 242109 283955 365085 377055 403515 469395 511119 657153 851865 1095255 1210545 1533357 2555595 3285765 4600071 7666785 23000355