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232022114145 = 3652292331193
BaseRepresentation
bin1101100000010110011…
…0000111111101100001
3211011220000112122000000
43120011212013331201
512300140130123040
6254331155050213
722522503300243
oct3300546077541
9734800478000
10232022114145
118a444486548
1238b738a0969
1318b58602103
14b330d00093
15607e87d130
hex3605987f61

232022114145 has 112 divisors (see below), whose sum is σ = 421424162640. Its totient is φ = 122573150208.

The previous prime is 232022114131. The next prime is 232022114147. The reversal of 232022114145 is 541411220232.

232022114145 is a `hidden beast` number, since 2 + 3 + 20 + 221 + 1 + 414 + 5 = 666.

232022114145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 318515409 + 231703598736 = 17847^2 + 481356^2 .

It is not a de Polignac number, because 232022114145 - 27 = 232022114017 is a prime.

It is a super-2 number, since 2×2320221141452 (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 not an unprimeable number, because it can be changed into a prime (232022114147) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 194485669 + ... + 194486861.

Almost surely, 2232022114145 is an apocalyptic number.

It is an amenable number.

232022114145 is a deficient number, since it is larger than the sum of its proper divisors (189402048495).

232022114145 is a wasteful number, since it uses less digits than its factorization.

232022114145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 232022114145 its reverse (541411220232), we get a palindrome (773433334377).

The spelling of 232022114145 in words is "two hundred thirty-two billion, twenty-two million, one hundred fourteen thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 229 233 243 405 687 699 729 1145 1165 1193 1215 2061 2097 3435 3495 3579 3645 5965 6183 6291 10305 10485 10737 17895 18549 18873 30915 31455 32211 53357 53685 55647 56619 92745 94365 96633 160071 161055 166941 169857 266785 273197 277969 278235 283095 289899 480213 483165 800355 819591 833907 834705 849285 869697 1365985 1389845 1440639 1449495 2401065 2458773 2501721 4097955 4169535 4321917 4348485 7203195 7376319 7505163 12293865 12508605 12965751 21609585 22128957 22515489 36881595 37525815 38897253 63654901 64828755 66386871 67546467 110644785 112577445 190964703 194486265 199160613 202639401 318274505 331934355 337732335 572894109 954823515 995803065 1013197005 1718682327 2864470545 5156046981 8593411635 15468140943 25780234905 46404422829 77340704715 232022114145