Search a number
-
+
230625939744 = 2534470318919
BaseRepresentation
bin1101011011001001100…
…0001001000100100000
3211001021201101121210000
43112302120021010200
512234310220032434
6253540442140000
722443061100034
oct3266230110440
9731251347700
10230625939744
1189898370002
12388441b1600
1318995292a05
14b23b7061c4
155eebee1b99
hex35b2609120

230625939744 has 120 divisors (see below), whose sum is σ = 678444560640. Its totient is φ = 76854904704.

The previous prime is 230625939743. The next prime is 230625939773. The reversal of 230625939744 is 447939526032.

230625939744 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 2 + 593 + 9 + 7 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (230625939743) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12180717 + ... + 12199635.

It is an arithmetic number, because the mean of its divisors is an integer number (5653704672).

Almost surely, 2230625939744 is an apocalyptic number.

230625939744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230625939744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339222280320).

230625939744 is an abundant number, since it is smaller than the sum of its proper divisors (447818620896).

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

230625939744 is a wasteful number, since it uses less digits than its factorization.

230625939744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23644 (or 23627 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 230625939744 in words is "two hundred thirty billion, six hundred twenty-five million, nine hundred thirty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 4703 9406 14109 18812 18919 28218 37624 37838 42327 56436 56757 75248 75676 84654 112872 113514 126981 150496 151352 169308 170271 225744 227028 253962 302704 338616 340542 380943 451488 454056 507924 510813 605408 677232 681084 761886 908112 1015848 1021626 1354464 1362168 1523772 1532439 1816224 2031696 2043252 2724336 3047544 3064878 4063392 4086504 5448672 6095088 6129756 8173008 12190176 12259512 16346016 24519024 49038048 88976057 177952114 266928171 355904228 533856342 711808456 800784513 1067712684 1423616912 1601569026 2135425368 2402353539 2847233824 3203138052 4270850736 4804707078 6406276104 7207060617 8541701472 9609414156 12812552208 14414121234 19218828312 25625104416 28828242468 38437656624 57656484936 76875313248 115312969872 230625939744