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229224240 = 24325745481
BaseRepresentation
bin11011010100110…
…10111100110000
3120222022210112200
431222122330300
5432140133430
634425023200
75452242150
oct1552327460
9528283480
10229224240
11108433623
1264924b00
133864a15b
142262c760
15151cd460
hexda9af30

229224240 has 120 divisors (see below), whose sum is σ = 879803808. Its totient is φ = 52392960.

The previous prime is 229224221. The next prime is 229224241. The reversal of 229224240 is 42422922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (229224241) 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, 17701 + ... + 27780.

Almost surely, 2229224240 is an apocalyptic number.

229224240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229224240 is an abundant number, since it is smaller than the sum of its proper divisors (650579568).

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

229224240 is a wasteful number, since it uses less digits than its factorization.

229224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45507 (or 45498 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 229224240 is about 15140.1532356842. The cubic root of 229224240 is about 612.0029475701.

The spelling of 229224240 in words is "two hundred twenty-nine million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 45481 90962 136443 181924 227405 272886 318367 363848 409329 454810 545772 636734 682215 727696 818658 909620 955101 1091544 1273468 1364430 1591835 1637316 1819240 1910202 2046645 2183088 2546936 2728860 2865303 3183670 3274632 3638480 3820404 4093290 4775505 5093872 5457720 5730606 6367340 6549264 7640808 8186580 9551010 10915440 11461212 12734680 14326515 15281616 16373160 19102020 22922424 25469360 28653030 32746320 38204040 45844848 57306060 76408080 114612120 229224240