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2270457 = 33741293
BaseRepresentation
bin1000101010010011111001
311021100111000
420222103321
51040123312
6120355213
725204260
oct10522371
94240430
102270457
111310912
12915b09
13616587
144315d7
152ecadc
hex22a4f9

2270457 has 32 divisors (see below), whose sum is σ = 3951360. Its totient is φ = 1261440.

The previous prime is 2270449. The next prime is 2270459. The reversal of 2270457 is 7540722.

2270457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2270457 - 23 = 2270449 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2270457.

It is not an unprimeable number, because it can be changed into a prime (2270459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7603 + ... + 7895.

It is an arithmetic number, because the mean of its divisors is an integer number (123480).

22270457 is an apocalyptic number.

2270457 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2270457 is a deficient number, since it is larger than the sum of its proper divisors (1680903).

2270457 is a wasteful number, since it uses less digits than its factorization.

2270457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2270457 is about 1506.8035704763. The cubic root of 2270457 is about 131.4330018648.

The spelling of 2270457 in words is "two million, two hundred seventy thousand, four hundred fifty-seven".

Divisors: 1 3 7 9 21 27 41 63 123 189 287 293 369 861 879 1107 2051 2583 2637 6153 7749 7911 12013 18459 36039 55377 84091 108117 252273 324351 756819 2270457