Search a number
-
+
233131213422 = 23323377964217
BaseRepresentation
bin1101100100011110110…
…1000000001001101110
3211021202022111201012000
43121013231000021232
512304423042312142
6255033214553130
722562131421652
oct3310755001156
9737668451160
10233131213422
118a963546218
12392232087a6
1318ca431a683
14b3d832aa62
1560e6e1014c
hex3647b4026e

233131213422 has 128 divisors (see below), whose sum is σ = 562241433600. Its totient is φ = 71406137088.

The previous prime is 233131213349. The next prime is 233131213423. The reversal of 233131213422 is 224312131332.

233131213422 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 312 + 1 + 342 + 2 = 666.

233131213422 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2331312134222 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233131213423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3598258 + ... + 3662474.

It is an arithmetic number, because the mean of its divisors is an integer number (4392511200).

Almost surely, 2233131213422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233131213422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281120716800).

233131213422 is an abundant number, since it is smaller than the sum of its proper divisors (329110220178).

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

233131213422 is a wasteful number, since it uses less digits than its factorization.

233131213422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64367 (or 64361 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 233131213422 its reverse (224312131332), we get a palindrome (457443344754).

The spelling of 233131213422 in words is "two hundred thirty-three billion, one hundred thirty-one million, two hundred thirteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 37 46 54 69 74 79 111 138 158 207 222 237 333 414 474 621 666 711 851 999 1242 1422 1702 1817 1998 2133 2553 2923 3634 4266 5106 5451 5846 7659 8769 10902 15318 16353 17538 22977 26307 32706 45954 49059 52614 64217 67229 78921 98118 128434 134458 157842 192651 201687 385302 403374 577953 605061 1155906 1210122 1476991 1733859 1815183 2376029 2953982 3467718 3630366 4430973 4752058 5073143 7128087 8861946 10146286 13292919 14256174 15219429 21384261 26585838 30438858 39878757 42768522 45658287 54648667 64152783 79757514 91316574 109297334 116682289 128305566 136974861 163946001 187706291 233364578 273949722 327892002 350046867 375412582 491838003 563118873 700093734 983676006 1050140601 1126237746 1475514009 1689356619 2100281202 2951028018 3150421803 3378713238 4317244693 5068069857 6300843606 8634489386 10136139714 12951734079 25903468158 38855202237 77710404474 116565606711 233131213422