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2297232 = 243274353
BaseRepresentation
bin1000110000110110010000
311022201012200
420300312100
51042002412
6121123200
725345320
oct10606620
94281180
102297232
111329a43
12929500
13625812
1443b280
153059dc
hex230d90

2297232 has 120 divisors (see below), whose sum is σ = 7660224. Its totient is φ = 628992.

The previous prime is 2297231. The next prime is 2297249. The reversal of 2297232 is 2327922.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (3024) is a multiple of the sum of its prime divisors (108).

It is a junction number, because it is equal to n+sod(n) for n = 2297196 and 2297205.

It is not an unprimeable number, because it can be changed into a prime (2297231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43318 + ... + 43370.

22297232 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 2297232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830112).

2297232 is an abundant number, since it is smaller than the sum of its proper divisors (5362992).

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

2297232 is a wasteful number, since it uses less digits than its factorization.

2297232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 2297232 is about 1515.6622315015. The cubic root of 2297232 is about 131.9476376336.

The spelling of 2297232 in words is "two million, two hundred ninety-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 53 56 63 72 84 86 106 112 126 129 144 159 168 172 212 252 258 301 318 336 344 371 387 424 477 504 516 602 636 688 742 774 848 903 954 1008 1032 1113 1204 1272 1484 1548 1806 1908 2064 2226 2279 2408 2544 2709 2968 3096 3339 3612 3816 4452 4558 4816 5418 5936 6192 6678 6837 7224 7632 8904 9116 10836 13356 13674 14448 15953 17808 18232 20511 21672 26712 27348 31906 36464 41022 43344 47859 53424 54696 63812 82044 95718 109392 127624 143577 164088 191436 255248 287154 328176 382872 574308 765744 1148616 2297232