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230440626 = 23413219443
BaseRepresentation
bin11011011110000…
…11111010110010
3121001121121010000
431233003322302
5432443100001
634511050430
75465466363
oct1557037262
9531547100
10230440626
111090944a9
1265210a16
1338984a00
1422867b6a
151536da86
hexdbc3eb2

230440626 has 120 divisors (see below), whose sum is σ = 589889520. Its totient is φ = 67021344.

The previous prime is 230440621. The next prime is 230440643. The reversal of 230440626 is 626044032.

230440626 is a `hidden beast` number, since 2 + 30 + 4 + 4 + 0 + 626 = 666.

It is a super-2 number, since 2×2304406262 = 106205764222543752, which contains 22 as substring.

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 230440626.

It is not an unprimeable number, because it can be changed into a prime (230440621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 519961 + ... + 520403.

It is an arithmetic number, because the mean of its divisors is an integer number (4915746).

Almost surely, 2230440626 is an apocalyptic number.

230440626 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 230440626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294944760).

230440626 is an abundant number, since it is smaller than the sum of its proper divisors (359448894).

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

230440626 is a wasteful number, since it uses less digits than its factorization.

230440626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 230440626 is about 15180.2709461986. The cubic root of 230440626 is about 613.0835763053.

Adding to 230440626 its reverse (626044032), we get a palindrome (856484658).

The spelling of 230440626 in words is "two hundred thirty million, four hundred forty thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 162 169 171 234 247 338 342 351 443 494 507 513 702 741 886 1014 1026 1053 1329 1482 1521 1539 2106 2223 2658 3042 3078 3211 3987 4446 4563 5759 6422 6669 7974 8417 9126 9633 11518 11961 13338 13689 16834 17277 19266 20007 23922 25251 27378 28899 34554 35883 40014 50502 51831 57798 71766 74867 75753 86697 103662 109421 149734 151506 155493 173394 218842 224601 227259 260091 310986 328263 449202 454518 466479 520182 656526 673803 681777 932958 984789 1347606 1363554 1422473 1969578 2021409 2844946 2954367 4042818 4267419 5908734 6064227 8534838 8863101 12128454 12802257 17726202 25604514 38406771 76813542 115220313 230440626