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225601254450 = 2325211133505847
BaseRepresentation
bin1101001000011011100…
…0011111010000110010
3210120022112120011100200
43102012320133100302
512144012410120300
6251350105500030
722204416010545
oct3220670372062
9716275504320
10225601254450
118774a032630
12378814a1616
13183742a0250
14acc225a85c
155d05d11200
hex3486e1f432

225601254450 has 144 divisors (see below), whose sum is σ = 712079798976. Its totient is φ = 50484182400.

The previous prime is 225601254433. The next prime is 225601254467. The reversal of 225601254450 is 54452106522.

225601254450 is a `hidden beast` number, since 2 + 2 + 5 + 60 + 1 + 2 + 544 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (225601254433) and next prime (225601254467).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1688574 + ... + 1817273.

It is an arithmetic number, because the mean of its divisors is an integer number (4944998604).

Almost surely, 2225601254450 is an apocalyptic number.

225601254450 is an abundant number, since it is smaller than the sum of its proper divisors (486478544526).

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

225601254450 is a wasteful number, since it uses less digits than its factorization.

225601254450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505889 (or 3505881 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 225601254450 in words is "two hundred twenty-five billion, six hundred one million, two hundred fifty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 25 26 30 33 39 45 50 55 65 66 75 78 90 99 110 117 130 143 150 165 195 198 225 234 275 286 325 330 390 429 450 495 550 585 650 715 825 858 975 990 1170 1287 1430 1650 1950 2145 2475 2574 2925 3575 4290 4950 5850 6435 7150 10725 12870 21450 32175 64350 3505847 7011694 10517541 17529235 21035082 31552623 35058470 38564317 45576011 52587705 63105246 77128634 87646175 91152022 105175410 115692951 136728033 157763115 175292350 192821585 227880055 231385902 262938525 273456066 315526230 347078853 385643170 410184099 455760110 501336121 525877050 578464755 683640165 694157706 788815575 820368198 964107925 1002672242 1139400275 1156929510 1367280330 1504008363 1577631150 1735394265 1928215850 2050920495 2278800550 2506680605 2892323775 3008016726 3418200825 3470788530 4101840990 4512025089 5013361210 5784647550 6836401650 7520041815 8676971325 9024050178 10254602475 12533403025 15040083630 17353942650 20509204950 22560125445 25066806050 37600209075 45120250890 75200418150 112800627225 225601254450