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113223432 = 23371979449
BaseRepresentation
bin1101011111110…
…10011100001000
321220001100100110
412233322130020
5212441122212
615122434320
72543245320
oct657723410
9256040313
10113223432
1158a03493
1231b029a0
131a5c361a
1411074280
159e17a3c
hex6bfa708

113223432 has 128 divisors (see below), whose sum is σ = 345600000. Its totient is φ = 30191616.

The previous prime is 113223391. The next prime is 113223433. The reversal of 113223432 is 234322311.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a junction number, because it is equal to n+sod(n) for n = 113223399 and 113223408.

It is not an unprimeable number, because it can be changed into a prime (113223433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251944 + ... + 252392.

It is an arithmetic number, because the mean of its divisors is an integer number (2700000).

Almost surely, 2113223432 is an apocalyptic number.

113223432 is a gapful number since it is divisible by the number (12) 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 113223432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800000).

113223432 is an abundant number, since it is smaller than the sum of its proper divisors (232376568).

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

113223432 is a wasteful number, since it uses less digits than its factorization.

113223432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 559 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 113223432 is about 10640.6499801469. The cubic root of 113223432 is about 483.7772464940. Note that the first 3 decimals are identical.

Adding to 113223432 its reverse (234322311), we get a palindrome (347545743).

The spelling of 113223432 in words is "one hundred thirteen million, two hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 79 84 114 133 152 158 168 228 237 266 316 399 449 456 474 532 553 632 798 898 948 1064 1106 1347 1501 1596 1659 1796 1896 2212 2694 3002 3143 3192 3318 3592 4424 4503 5388 6004 6286 6636 8531 9006 9429 10507 10776 12008 12572 13272 17062 18012 18858 21014 25144 25593 31521 34124 35471 36024 37716 42028 51186 59717 63042 68248 70942 75432 84056 102372 106413 119434 126084 141884 179151 204744 212826 238868 248297 252168 283768 358302 425652 477736 496594 673949 716604 744891 851304 993188 1347898 1433208 1489782 1986376 2021847 2695796 2979564 4043694 4717643 5391592 5959128 8087388 9435286 14152929 16174776 18870572 28305858 37741144 56611716 113223432