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225063914544 = 24327288777339
BaseRepresentation
bin1101000110011011011…
…0101100110000110000
3210111221002110110120200
43101212312230300300
512141412330231134
6251220512435200
722155202465110
oct3214666546060
9714832413520
10225063914544
11874a3792167
1237751548b00
13182b9b73341
14ac70b45040
155cc3a6e499
hex3466dacc30

225063914544 has 120 divisors (see below), whose sum is σ = 720105934080. Its totient is φ = 64280870784.

The previous prime is 225063914533. The next prime is 225063914561. The reversal of 225063914544 is 445419360522.

225063914544 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 639 + 1 + 4 + 5 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 225063914544.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2871427 + ... + 2948765.

It is an arithmetic number, because the mean of its divisors is an integer number (6000882784).

Almost surely, 2225063914544 is an apocalyptic number.

225063914544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225063914544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360052967040).

225063914544 is an abundant number, since it is smaller than the sum of its proper divisors (495042019536).

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

225063914544 is a wasteful number, since it uses less digits than its factorization.

225063914544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80247 (or 80238 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 225063914544 in words is "two hundred twenty-five billion, sixty-three million, nine hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2887 5774 8661 11548 17322 20209 23096 25983 34644 40418 46192 51966 60627 69288 77339 80836 103932 121254 138576 154678 161672 181881 207864 232017 242508 309356 323344 363762 415728 464034 485016 541373 618712 696051 727524 928068 970032 1082746 1237424 1392102 1455048 1624119 1856136 2165492 2784204 2910096 3248238 3712272 4330984 4872357 5568408 6496476 8661968 9744714 11136816 12992952 19489428 25985904 38978856 77957712 223277693 446555386 669833079 893110772 1339666158 1562943851 1786221544 2009499237 2679332316 3125887702 3572443088 4018998474 4688831553 5358664632 6251775404 8037996948 9377663106 10717329264 12503550808 14066494659 16075993896 18755326212 25007101616 28132989318 32151987792 37510652424 56265978636 75021304848 112531957272 225063914544