Search a number
-
+
232213230102 = 23737679972237
BaseRepresentation
bin1101100001000011111…
…1001011001000010110
3211012101100011022210210
43120100333023020112
512301033041330402
6254402143230250
722530313613520
oct3302077131026
9735340138723
10232213230102
118a532350817
12390078a8386
1318b89098789
14b34c44ca10
15609153006c
hex3610fcb216

232213230102 has 128 divisors (see below), whose sum is σ = 554056897536. Its totient is φ = 63497820672.

The previous prime is 232213230101. The next prime is 232213230143. The reversal of 232213230102 is 201032312232.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232213230101) 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, 103804528 + ... + 103806764.

It is an arithmetic number, because the mean of its divisors is an integer number (4328569512).

Almost surely, 2232213230102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232213230102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277028448768).

232213230102 is an abundant number, since it is smaller than the sum of its proper divisors (321843667434).

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

232213230102 is a wasteful number, since it uses less digits than its factorization.

232213230102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350.

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

Adding to 232213230102 its reverse (201032312232), we get a palindrome (433245542334).

The spelling of 232213230102 in words is "two hundred thirty-two billion, two hundred thirteen million, two hundred thirty thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 37 42 67 74 111 134 201 222 259 402 469 518 777 938 997 1407 1554 1994 2237 2479 2814 2991 4474 4958 5982 6711 6979 7437 13422 13958 14874 15659 17353 20937 31318 34706 36889 41874 46977 52059 66799 73778 82769 93954 104118 110667 133598 149879 165538 200397 221334 248307 258223 299758 400794 449637 467593 496614 516446 579383 774669 899274 935186 1049153 1158766 1402779 1549338 1738149 2098306 2230289 2471563 2805558 3147459 3476298 4460578 4943126 5545523 6294918 6690867 7414689 11091046 13381734 14829378 15612023 16636569 17300941 31224046 33273138 34601882 38818661 46836069 51902823 77637322 82520693 93672138 103805646 116455983 149429363 165041386 232911966 247562079 298858726 448288089 495124158 577644851 896576178 1046005541 1155289702 1732934553 2092011082 3138016623 3465869106 5528886431 6276033246 11057772862 16586659293 33173318586 38702205017 77404410034 116106615051 232213230102