Search a number
-
+
231052122 = 23371953607
BaseRepresentation
bin11011100010110…
…01001101011010
3121002202122221000
431301121031122
5433122131442
634532125430
75503624230
oct1561311532
9532678830
10231052122
11109471974
1265466876
1338b3a142
1422986950
151543ed4c
hexdc5935a

231052122 has 128 divisors (see below), whose sum is σ = 630374400. Its totient is φ = 61259328.

The previous prime is 231052121. The next prime is 231052153. The reversal of 231052122 is 221250132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231052095 and 231052104.

It is not an unprimeable number, because it can be changed into a prime (231052121) 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, 380343 + ... + 380949.

It is an arithmetic number, because the mean of its divisors is an integer number (4924800).

Almost surely, 2231052122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231052122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315187200).

231052122 is an abundant number, since it is smaller than the sum of its proper divisors (399322278).

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

231052122 is a wasteful number, since it uses less digits than its factorization.

231052122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 231052122 is about 15200.3987447698. The cubic root of 231052122 is about 613.6253890922.

The spelling of 231052122 in words is "two hundred thirty-one million, fifty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 53 54 57 63 106 114 126 133 159 171 189 266 318 342 371 378 399 477 513 607 742 798 954 1007 1026 1113 1197 1214 1431 1821 2014 2226 2394 2862 3021 3339 3591 3642 4249 5463 6042 6678 7049 7182 8498 9063 10017 10926 11533 12747 14098 16389 18126 20034 21147 23066 25494 27189 32171 32778 34599 38241 42294 54378 63441 64342 69198 76482 80731 96513 103797 114723 126882 161462 190323 193026 207594 225197 229446 242193 289539 311391 380646 450394 484386 579078 611249 622782 675591 726579 868617 1222498 1351182 1453158 1737234 1833747 2026773 2179737 3667494 4053546 4278743 4359474 5501241 6080319 8557486 11002482 12160638 12836229 16503723 25672458 33007446 38508687 77017374 115526061 231052122