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225444321432 = 2332111180124121
BaseRepresentation
bin1101000111110110000…
…1110101100010011000
3210112220121021010201200
43101331201311202120
512143202221241212
6251322342114200
722200502054101
oct3217541654230
9715817233650
10225444321432
1187679495520
1237838a1b960
131834a914785
14aca94893a8
155ce71626dc
hex347d875898

225444321432 has 96 divisors (see below), whose sum is σ = 666169554960. Its totient is φ = 68307840000.

The previous prime is 225444321371. The next prime is 225444321461. The reversal of 225444321432 is 234123444522.

225444321432 is a `hidden beast` number, since 2 + 254 + 44 + 321 + 43 + 2 = 666.

225444321432 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9334332 + ... + 9358452.

Almost surely, 2225444321432 is an apocalyptic number.

225444321432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

225444321432 is an abundant number, since it is smaller than the sum of its proper divisors (440725233528).

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

225444321432 is a wasteful number, since it uses less digits than its factorization.

225444321432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35945 (or 35938 counting only the distinct ones).

The product of its digits is 184320, while the sum is 36.

Adding to 225444321432 its reverse (234123444522), we get a palindrome (459567765954).

The spelling of 225444321432 in words is "two hundred twenty-five billion, four hundred forty-four million, three hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 11801 23602 24121 35403 47204 48242 70806 72363 94408 96484 106209 129811 141612 144726 192968 212418 217089 259622 265331 283224 289452 389433 424836 434178 519244 530662 578904 778866 795993 849672 868356 1038488 1061324 1168299 1557732 1591986 1736712 2122648 2336598 2387979 3115464 3183972 4673196 4775958 6367944 9346392 9551916 19103832 284651921 569303842 853955763 1138607684 1707911526 2277215368 2561867289 3131171131 3415823052 5123734578 6262342262 6831646104 9393513393 10247469156 12524684524 18787026786 20494938312 25049369048 28180540179 37574053572 56361080358 75148107144 112722160716 225444321432