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2293128 = 233231849
BaseRepresentation
bin1000101111110110001000
311022111120200
420233312020
51041340003
6121052200
725330335
oct10576610
94274520
102293128
111326952
12927060
136239a6
1443998c
153046a3
hex22fd88

2293128 has 24 divisors (see below), whose sum is σ = 6210750. Its totient is φ = 764352.

The previous prime is 2293127. The next prime is 2293139. The reversal of 2293128 is 8213922.

It is a happy number.

2293128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1954404 + 338724 = 1398^2 + 582^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2293121) 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 5 ways as a sum of consecutive naturals, for example, 15853 + ... + 15996.

22293128 is an apocalyptic number.

It is an amenable number.

2293128 is an abundant number, since it is smaller than the sum of its proper divisors (3917622).

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

2293128 is a wasteful number, since it uses less digits than its factorization.

2293128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31861 (or 31854 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2293128 is about 1514.3077626427. The cubic root of 2293128 is about 131.8690160728.

The spelling of 2293128 in words is "two million, two hundred ninety-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 31849 63698 95547 127396 191094 254792 286641 382188 573282 764376 1146564 2293128