Search a number
-
+
230341406000 = 2453791457857
BaseRepresentation
bin1101011010000101101…
…0101110110100110000
3211000112212222210212012
43112201122232310300
512233214344443000
6253452315422052
722433034434426
oct3264132566460
9730485883765
10230341406000
118976179a652
1238784a54928
131894b34b854
14b2119db116
155ed203a735
hex35a16aed30

230341406000 has 80 divisors (see below), whose sum is σ = 564016103040. Its totient is φ = 90970214400.

The previous prime is 230341405927. The next prime is 230341406017. The reversal of 230341406000 is 604143032.

It is a happy number.

230341406000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 570929 + ... + 886928.

It is an arithmetic number, because the mean of its divisors is an integer number (7050201288).

Almost surely, 2230341406000 is an apocalyptic number.

230341406000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230341406000 is an abundant number, since it is smaller than the sum of its proper divisors (333674697040).

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

230341406000 is a wasteful number, since it uses less digits than its factorization.

230341406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457959 (or 1457943 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 230341406000 its reverse (604143032), we get a palindrome (230945549032).

The spelling of 230341406000 in words is "two hundred thirty billion, three hundred forty-one million, four hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 125 158 200 250 316 395 400 500 632 790 1000 1264 1580 1975 2000 3160 3950 6320 7900 9875 15800 19750 31600 39500 79000 158000 1457857 2915714 5831428 7289285 11662856 14578570 23325712 29157140 36446425 58314280 72892850 115170703 116628560 145785700 182232125 230341406 291571400 364464250 460682812 575853515 583142800 728928500 921365624 1151707030 1457857000 1842731248 2303414060 2879267575 2915714000 4606828120 5758535150 9213656240 11517070300 14396337875 23034140600 28792675750 46068281200 57585351500 115170703000 230341406000