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2287428 = 22311133143
BaseRepresentation
bin1000101110011101000100
311022012202120
420232131010
51041144203
6121005540
725304613
oct10563504
94265676
102287428
111322640
129238b0
13621210
1443787a
15302b53
hex22e744

2287428 has 96 divisors (see below), whose sum is σ = 6623232. Its totient is φ = 604800.

The previous prime is 2287423. The next prime is 2287463. The reversal of 2287428 is 8247822.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2287421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53175 + ... + 53217.

It is an arithmetic number, because the mean of its divisors is an integer number (68992).

22287428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2287428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311616).

2287428 is an abundant number, since it is smaller than the sum of its proper divisors (4335804).

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

2287428 is a wasteful number, since it uses less digits than its factorization.

2287428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 103 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 2287428 is about 1512.4245435723. The cubic root of 2287428 is about 131.7596636882.

The spelling of 2287428 in words is "two million, two hundred eighty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 31 33 39 43 44 52 62 66 78 86 93 124 129 132 143 156 172 186 258 286 341 372 403 429 473 516 559 572 682 806 858 946 1023 1118 1209 1333 1364 1419 1612 1677 1716 1892 2046 2236 2418 2666 2838 3354 3999 4092 4433 4836 5332 5676 6149 6708 7998 8866 12298 13299 14663 15996 17329 17732 18447 24596 26598 29326 34658 36894 43989 51987 53196 58652 69316 73788 87978 103974 175956 190619 207948 381238 571857 762476 1143714 2287428