Search a number
-
+
230014424232 = 2332191491128451
BaseRepresentation
bin1101011000110111101…
…1011001010010101000
3210222201002201102012100
43112031323121102220
512232032143033412
6253400035213400
722421654230005
oct3261573312250
9728632642170
10230014424232
118960416738a
12386b3447260
13188c8694808
14b1c04028ac
155eb349bedc
hex358ded94a8

230014424232 has 96 divisors (see below), whose sum is σ = 660144420000. Its totient is φ = 72148579200.

The previous prime is 230014424207. The next prime is 230014424261. The reversal of 230014424232 is 232424410032.

230014424232 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 1 + 4 + 424 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 230014424196 and 230014424205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360394 + ... + 768057.

It is an arithmetic number, because the mean of its divisors is an integer number (6876504375).

Almost surely, 2230014424232 is an apocalyptic number.

It is an amenable number.

230014424232 is an abundant number, since it is smaller than the sum of its proper divisors (430129995768).

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

230014424232 is a wasteful number, since it uses less digits than its factorization.

230014424232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128631 (or 1128624 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 230014424232 its reverse (232424410032), we get a palindrome (462438834264).

The spelling of 230014424232 in words is "two hundred thirty billion, fourteen million, four hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 149 152 171 228 298 342 447 456 596 684 894 1192 1341 1368 1788 2682 2831 3576 5364 5662 8493 10728 11324 16986 22648 25479 33972 50958 67944 101916 203832 1128451 2256902 3385353 4513804 6770706 9027608 10156059 13541412 20312118 21440569 27082824 40624236 42881138 64321707 81248472 85762276 128643414 168139199 171524552 192965121 257286828 336278398 385930242 504417597 514573656 672556796 771860484 1008835194 1345113592 1513252791 1543720968 2017670388 3026505582 3194644781 4035340776 6053011164 6389289562 9583934343 12106022328 12778579124 19167868686 25557158248 28751803029 38335737372 57503606058 76671474744 115007212116 230014424232