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231554430 = 23354771257
BaseRepresentation
bin11011100110100…
…11110101111110
3121010201011222000
431303103311332
5433234220210
634551003130
75511115542
oct1563236576
9533634860
10231554430
111097852a8
12656694a6
1338c84973
1422a77a22
15154ddac0
hexdcd3d7e

231554430 has 128 divisors (see below), whose sum is σ = 641986560. Its totient is φ = 59351040.

The previous prime is 231554419. The next prime is 231554431. The reversal of 231554430 is 34455132.

231554430 is nontrivially palindromic in base 14.

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

It is a junction number, because it is equal to n+sod(n) for n = 231554394 and 231554403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231554431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 900862 + ... + 901118.

It is an arithmetic number, because the mean of its divisors is an integer number (5015520).

Almost surely, 2231554430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231554430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320993280).

231554430 is an abundant number, since it is smaller than the sum of its proper divisors (410432130).

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

231554430 is a wasteful number, since it uses less digits than its factorization.

231554430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 231554430 is about 15216.9126303597. The cubic root of 231554430 is about 614.0697417129.

The spelling of 231554430 in words is "two hundred thirty-one million, five hundred fifty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 71 90 94 135 141 142 213 235 257 270 282 355 423 426 470 514 639 705 710 771 846 1065 1269 1278 1285 1410 1542 1917 2115 2130 2313 2538 2570 3195 3337 3834 3855 4230 4626 6345 6390 6674 6939 7710 9585 10011 11565 12079 12690 13878 16685 18247 19170 20022 23130 24158 30033 33370 34695 36237 36494 50055 54741 60066 60395 69390 72474 90099 91235 100110 108711 109482 120790 150165 164223 180198 181185 182470 217422 273705 300330 326133 328446 362370 450495 492669 543555 547410 652266 821115 857609 900990 985338 1087110 1630665 1642230 1715218 2463345 2572827 3261330 4288045 4926690 5145654 7718481 8576090 12864135 15436962 23155443 25728270 38592405 46310886 77184810 115777215 231554430