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4229330112 = 26347116549
BaseRepresentation
bin1111110000010110…
…0111010011000000
3101220202020020020000
43330011213103000
532130202030422
61535401120000
7206543466330
oct37405472300
911822206200
104229330112
11188038a347
129a0489000
135252a7ac7
142c19ad0c0
1519b474cac
hexfc1674c0

4229330112 has 140 divisors (see below), whose sum is σ = 14328190800. Its totient is φ = 1208369664.

The previous prime is 4229330081. The next prime is 4229330123. The reversal of 4229330112 is 2110339224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21987 + ... + 94562.

It is an arithmetic number, because the mean of its divisors is an integer number (102344220).

Almost surely, 24229330112 is an apocalyptic number.

4229330112 is a gapful number since it is divisible by the number (42) 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 4229330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7164095400).

4229330112 is an abundant number, since it is smaller than the sum of its proper divisors (10098860688).

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

4229330112 is a wasteful number, since it uses less digits than its factorization.

4229330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116580 (or 116561 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4229330112 is about 65033.3000239108. The cubic root of 4229330112 is about 1617.1756549655.

Adding to 4229330112 its reverse (2110339224), we get a palindrome (6339669336).

The spelling of 4229330112 in words is "four billion, two hundred twenty-nine million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 116549 233098 349647 466196 699294 815843 932392 1048941 1398588 1631686 1864784 2097882 2447529 2797176 3146823 3263372 3729568 4195764 4895058 5594352 6293646 6526744 7342587 7459136 8391528 9440469 9790116 11188704 12587292 13053488 14685174 16783056 18880938 19580232 22027761 22377408 25174584 26106976 29370348 33566112 37761876 39160464 44055522 50349168 52213952 58740696 66083283 67132224 75523752 78320928 88111044 100698336 117481392 132166566 151047504 156641856 176222088 201396672 234962784 264333132 302095008 352444176 469925568 528666264 604190016 704888352 1057332528 1409776704 2114665056 4229330112