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230224401144 = 233317371694521
BaseRepresentation
bin1101011001101001110…
…0011001001011111000
3211000020201211100101000
43112122130121023320
512232444421314034
6253432535525000
722430114056413
oct3263234311370
9730221740330
10230224401144
1189701744121
1238751829760
1318930032cca
14b200260b7a
155ec6b27599
hex359a7192f8

230224401144 has 128 divisors (see below), whose sum is σ = 695431828800. Its totient is φ = 70275133440.

The previous prime is 230224401109. The next prime is 230224401149. The reversal of 230224401144 is 441104422032.

230224401144 is a `hidden beast` number, since 2 + 30 + 224 + 401 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×2302244011442 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230224401149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711397 + ... + 983124.

Almost surely, 2230224401144 is an apocalyptic number.

230224401144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230224401144 is an abundant number, since it is smaller than the sum of its proper divisors (465207427656).

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

230224401144 is a wasteful number, since it uses less digits than its factorization.

230224401144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694590 (or 1694580 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 230224401144 its reverse (441104422032), we get a palindrome (671328823176).

The spelling of 230224401144 in words is "two hundred thirty billion, two hundred twenty-four million, four hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 37 51 54 68 72 74 102 108 111 136 148 153 204 216 222 296 306 333 408 444 459 612 629 666 888 918 999 1224 1258 1332 1836 1887 1998 2516 2664 3672 3774 3996 5032 5661 7548 7992 11322 15096 16983 22644 33966 45288 67932 135864 1694521 3389042 5083563 6778084 10167126 13556168 15250689 20334252 28806857 30501378 40668504 45752067 57613714 61002756 62697277 86420571 91504134 115227428 122005512 125394554 172841142 183008268 188091831 230454856 250789108 259261713 345682284 366016536 376183662 501578216 518523426 564275493 691364568 752367324 777785139 1037046852 1065853709 1128550986 1504734648 1555570278 1692826479 2074093704 2131707418 2257101972 3111140556 3197561127 3385652958 4263414836 4514203944 6222281112 6395122254 6771305916 8526829672 9592683381 12790244508 13542611832 19185366762 25580489016 28778050143 38370733524 57556100286 76741467048 115112200572 230224401144