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225067752072 = 233229472293427
BaseRepresentation
bin1101000110011100010…
…1010101101010001000
3210111221100200102200100
43101213011111222020
512141414321031242
6251221131005400
722155250220202
oct3214705255210
9714840612610
10225067752072
11874a5973379
1237752899860
13182ba8b7c77
14ac71463772
155cc407b54c
hex3467155a88

225067752072 has 96 divisors (see below), whose sum is σ = 643994582400. Its totient is φ = 70894384512.

The previous prime is 225067752053. The next prime is 225067752131. The reversal of 225067752072 is 270257760522.

225067752072 is a `hidden beast` number, since 2 + 2 + 50 + 6 + 7 + 7 + 520 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1048578 + ... + 1244849.

It is an arithmetic number, because the mean of its divisors is an integer number (6708276900).

Almost surely, 2225067752072 is an apocalyptic number.

It is an amenable number.

225067752072 is an abundant number, since it is smaller than the sum of its proper divisors (418926830328).

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

225067752072 is a wasteful number, since it uses less digits than its factorization.

225067752072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293515 (or 2293508 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 225067752072 in words is "two hundred twenty-five billion, sixty-seven million, seven hundred fifty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 47 58 72 87 94 116 141 174 188 232 261 282 348 376 423 522 564 696 846 1044 1128 1363 1692 2088 2726 3384 4089 5452 8178 10904 12267 16356 24534 32712 49068 98136 2293427 4586854 6880281 9173708 13760562 18347416 20640843 27521124 41281686 55042248 66509383 82563372 107791069 133018766 165126744 199528149 215582138 266037532 323373207 399056298 431164276 532075064 598584447 646746414 798112596 862328552 970119621 1197168894 1293492828 1596225192 1940239242 2394337788 2586985656 3125941001 3880478484 4788675576 6251882002 7760956968 9377823003 12503764004 18755646006 25007528008 28133469009 37511292012 56266938018 75022584024 112533876036 225067752072