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2264496 = 2431319191
BaseRepresentation
bin1000101000110110110000
311021001022020
420220312300
51034430441
6120311440
725151013
oct10506660
94231266
102264496
111307393
12912580
13613950
1442d37a
152eae66
hex228db0

2264496 has 80 divisors (see below), whose sum is σ = 6666240. Its totient is φ = 656640.

The previous prime is 2264467. The next prime is 2264497. The reversal of 2264496 is 6944622.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2264497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11761 + ... + 11951.

It is an arithmetic number, because the mean of its divisors is an integer number (83328).

22264496 is an apocalyptic number.

2264496 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333120).

2264496 is an abundant number, since it is smaller than the sum of its proper divisors (4401744).

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

2264496 is a wasteful number, since it uses less digits than its factorization.

2264496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 2264496 is about 1504.8242422290. The cubic root of 2264496 is about 131.3178769090.

The spelling of 2264496 in words is "two million, two hundred sixty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 191 208 228 247 304 312 382 456 494 573 624 741 764 912 988 1146 1482 1528 1976 2292 2483 2964 3056 3629 3952 4584 4966 5928 7258 7449 9168 9932 10887 11856 14516 14898 19864 21774 29032 29796 39728 43548 47177 58064 59592 87096 94354 119184 141531 174192 188708 283062 377416 566124 754832 1132248 2264496