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9249201 = 331322027
BaseRepresentation
bin100011010010…
…000110110001
3122101220112000
4203102012301
54331433301
6530124213
7141421413
oct43220661
918356460
109249201
115248075
123120669
131bbac00
14132a9b3
15c2a786
hex8d21b1

9249201 has 24 divisors (see below), whose sum is σ = 14844960. Its totient is φ = 5689008.

The previous prime is 9249193. The next prime is 9249209. The reversal of 9249201 is 1029429.

9249201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9249193) and next prime (9249209).

It is not a de Polignac number, because 9249201 - 23 = 9249193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9249209) 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, 3550 + ... + 5576.

It is an arithmetic number, because the mean of its divisors is an integer number (618540).

Almost surely, 29249201 is an apocalyptic number.

9249201 is the 1521-st decagonal number.

It is an amenable number.

9249201 is a deficient number, since it is larger than the sum of its proper divisors (5595759).

9249201 is a wasteful number, since it uses less digits than its factorization.

9249201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9249201 is about 3041.2499075216. The cubic root of 9249201 is about 209.9107784248.

The spelling of 9249201 in words is "nine million, two hundred forty-nine thousand, two hundred one".

Divisors: 1 3 9 13 27 39 117 169 351 507 1521 2027 4563 6081 18243 26351 54729 79053 237159 342563 711477 1027689 3083067 9249201