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230019426 = 2357213743
BaseRepresentation
bin11011011010111…
…01000101100010
3121000211012100000
431231131011202
5432341110201
634454040430
75462063400
oct1555350542
9530735300
10230019426
11108926aaa
1265049116
1338868090
1422798470
15152d8d86
hexdb5d162

230019426 has 144 divisors (see below), whose sum is σ = 648333504. Its totient is φ = 60582816.

The previous prime is 230019421. The next prime is 230019431. The reversal of 230019426 is 624910032.

230019426 is a `hidden beast` number, since 230 + 0 + 1 + 9 + 426 = 666.

It is an interprime number because it is at equal distance from previous prime (230019421) and next prime (230019431).

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

It is a self number, because there is not a number n which added to its sum of digits gives 230019426.

It is not an unprimeable number, because it can be changed into a prime (230019421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 309211 + ... + 309953.

It is an arithmetic number, because the mean of its divisors is an integer number (4502316).

Almost surely, 2230019426 is an apocalyptic number.

230019426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230019426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324166752).

230019426 is an abundant number, since it is smaller than the sum of its proper divisors (418314078).

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

230019426 is a wasteful number, since it uses less digits than its factorization.

230019426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 230019426 is about 15166.3913308341. The cubic root of 230019426 is about 612.7098165529.

Adding to 230019426 its reverse (624910032), we get a palindrome (854929458).

The spelling of 230019426 in words is "two hundred thirty million, nineteen thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 182 189 234 243 273 294 351 378 441 486 546 567 637 702 743 819 882 1053 1134 1274 1323 1486 1638 1701 1911 2106 2229 2457 2646 3159 3402 3822 3969 4458 4914 5201 5733 6318 6687 7371 7938 9659 10402 11466 11907 13374 14742 15603 17199 19318 20061 22113 23814 28977 31206 34398 36407 40122 44226 46809 51597 57954 60183 67613 72814 86931 93618 103194 109221 120366 135226 140427 154791 173862 180549 202839 218442 260793 280854 309582 327663 361098 405678 421281 473291 521586 608517 655326 782379 842562 946582 982989 1217034 1263843 1419873 1564758 1825551 1965978 2347137 2527686 2839746 2948967 3651102 4259619 4694274 5476653 5897934 8519238 8846901 10953306 12778857 16429959 17693802 25557714 32859918 38336571 76673142 115009713 230019426