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23200961 = 723767191
BaseRepresentation
bin101100010000…
…0010011000001
31121122201201212
41120200103001
521414412321
62145135505
7401130200
oct130402301
947581655
1023200961
1112107253
12792a595
134a643a4
14311d237
15208455b
hex16204c1

23200961 has 24 divisors (see below), whose sum is σ = 28279296. Its totient is φ = 18960480.

The previous prime is 23200949. The next prime is 23200963. The reversal of 23200961 is 16900232.

It is not a de Polignac number, because 23200961 - 26 = 23200897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23200963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121376 + ... + 121566.

It is an arithmetic number, because the mean of its divisors is an integer number (1178304).

Almost surely, 223200961 is an apocalyptic number.

It is an amenable number.

23200961 is a deficient number, since it is larger than the sum of its proper divisors (5078335).

23200961 is a wasteful number, since it uses less digits than its factorization.

23200961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 23200961 is about 4816.7375888666. The cubic root of 23200961 is about 285.2125673841.

The spelling of 23200961 in words is "twenty-three million, two hundred thousand, nine hundred sixty-one".

Divisors: 1 7 37 49 67 191 259 469 1337 1813 2479 3283 7067 9359 12797 17353 49469 89579 121471 346283 473489 627053 3314423 23200961