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242023132333224 = 2332111051290756197
BaseRepresentation
bin110111000001111001100110…
…110101001000010010101000
31011201221012000012222012111100
4313001321212311020102220
5223210301333334130344
62214423520405001400
7101656410560435214
oct6701714665102250
91151835005865440
10242023132333224
1170130485743570
12231898553b3260
13a5078b6701638
1443a9da6c87944
151cea89c9d8569
hexdc1e66d484a8

242023132333224 has 96 divisors (see below), whose sum is σ = 715748717492640. Its totient is φ = 73270561392000.

The previous prime is 242023132333223. The next prime is 242023132333277. The reversal of 242023132333224 is 422333231320242.

242023132333224 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 2 + 3 + 1 + 323 + 3 + 322 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (242023132333223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144545707 + ... + 146210490.

It is an arithmetic number, because the mean of its divisors is an integer number (7455715807215).

Almost surely, 2242023132333224 is an apocalyptic number.

242023132333224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242023132333224 is an abundant number, since it is smaller than the sum of its proper divisors (473725585159416).

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

242023132333224 is a wasteful number, since it uses less digits than its factorization.

242023132333224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290757271 (or 290757264 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 242023132333224 its reverse (422333231320242), we get a palindrome (664356363653466).

The spelling of 242023132333224 in words is "two hundred forty-two trillion, twenty-three billion, one hundred thirty-two million, three hundred thirty-three thousand, two hundred twenty-four".

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 1051 2102 3153 4204 6306 8408 9459 11561 12612 18918 23122 25224 34683 37836 46244 69366 75672 92488 104049 138732 208098 277464 416196 832392 290756197 581512394 872268591 1163024788 1744537182 2326049576 2616805773 3198318167 3489074364 5233611546 6396636334 6978148728 9594954501 10467223092 12793272668 19189909002 20934446184 25586545336 28784863503 38379818004 57569727006 76759636008 115139454012 230278908024 305584763047 611169526094 916754289141 1222339052188 1833508578282 2444678104376 2750262867423 3361432393517 3667017156564 5500525734846 6722864787034 7334034313128 10084297180551 11001051469692 13445729574068 20168594361102 22002102939384 26891459148136 30252891541653 40337188722204 60505783083306 80674377444408 121011566166612 242023132333224