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10233601 = 724572
BaseRepresentation
bin100111000010…
…011100000001
3201020220212021
4213002130001
510104433401
61003201441
7152661400
oct47023401
921226767
1010233601
11585a724
123516281
132173cb1
141505637
15d722a1
hex9c2701

10233601 has 9 divisors (see below), whose sum is σ = 11930499. Its totient is φ = 8752464.

The previous prime is 10233577. The next prime is 10233617. The reversal of 10233601 is 10633201.

The square root of 10233601 is 3199.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8850625 + 1382976 = 2975^2 + 1176^2 .

It is not a de Polignac number, because 10233601 - 25 = 10233569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10233631) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22165 + ... + 22621.

It is an arithmetic number, because the mean of its divisors is an integer number (1325611).

Almost surely, 210233601 is an apocalyptic number.

10233601 is the 3199-th square number.

10233601 is the 1600-th centered octagonal number.

It is an amenable number.

10233601 is a deficient number, since it is larger than the sum of its proper divisors (1696898).

10233601 is an frugal number, since it uses more digits than its factorization.

10233601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The cubic root of 10233601 is about 217.1081666774.

Multiplying 10233601 by its sum of digits (16), we get a square (163737616 = 127962).

Adding to 10233601 its reverse (10633201), we get a palindrome (20866802).

It can be divided in two parts, 1023 and 3601, that added together give a square (4624 = 682).

The spelling of 10233601 in words is "ten million, two hundred thirty-three thousand, six hundred one".

Divisors: 1 7 49 457 3199 22393 208849 1461943 10233601