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2221296 = 243711601
BaseRepresentation
bin1000011110010011110000
311011212001020
420132103300
51032040141
6115335440
724611040
oct10362360
94155036
102221296
111287990
128b1580
135ca09c
1441b720
152dd266
hex21e4f0

2221296 has 80 divisors (see below), whose sum is σ = 7166208. Its totient is φ = 576000.

The previous prime is 2221273. The next prime is 2221301. The reversal of 2221296 is 6921222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3396 + ... + 3996.

22221296 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 2221296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583104).

2221296 is an abundant number, since it is smaller than the sum of its proper divisors (4944912).

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

2221296 is a wasteful number, since it uses less digits than its factorization.

2221296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 2221296 is about 1490.4012882442. The cubic root of 2221296 is about 130.4774553325.

The spelling of 2221296 in words is "two million, two hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 601 616 924 1202 1232 1803 1848 2404 3606 3696 4207 4808 6611 7212 8414 9616 12621 13222 14424 16828 19833 25242 26444 28848 33656 39666 46277 50484 52888 67312 79332 92554 100968 105776 138831 158664 185108 201936 277662 317328 370216 555324 740432 1110648 2221296