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225500366573460 = 2232511769114808097
BaseRepresentation
bin110011010001011101100101…
…001111110000111110010100
31002120102121212021012021010200
4303101131211033300332110
5214024044222320322320
62115333234400220500
765332602204653436
oct6321354517607624
91076377767167120
10225500366573460
116594019416a410
122135b59460a730
1398a97936c16c4
143d983c13d0656
151b10bae539290
hexcd17653f0f94

225500366573460 has 144 divisors (see below), whose sum is σ = 746298286074432. Its totient is φ = 54659643955200.

The previous prime is 225500366573431. The next prime is 225500366573501. The reversal of 225500366573460 is 64375663005522.

225500366573460 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 0 + 0 + 3 + 6 + 6 + 573 + 4 + 60 = 666.

It is a super-2 number, since 2×2255003665734602 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225500366573397 and 225500366573406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7824132 + ... + 22632228.

It is an arithmetic number, because the mean of its divisors is an integer number (5182626986628).

Almost surely, 2225500366573460 is an apocalyptic number.

225500366573460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225500366573460 is an abundant number, since it is smaller than the sum of its proper divisors (520797919500972).

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

225500366573460 is a wasteful number, since it uses less digits than its factorization.

225500366573460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14815814 (or 14815809 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 54.

The spelling of 225500366573460 in words is "two hundred twenty-five trillion, five hundred billion, three hundred sixty-six million, five hundred seventy-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 7691 15382 23073 30764 38455 46146 69219 76910 84601 92292 115365 138438 153820 169202 230730 253803 276876 338404 346095 423005 461460 507606 692190 761409 846010 1015212 1269015 1384380 1522818 1692020 2538030 3045636 3807045 5076060 7614090 14808097 15228180 29616194 44424291 59232388 74040485 88848582 133272873 148080970 162889067 177697164 222121455 266545746 296161940 325778134 444242910 488667201 533091492 651556268 666364365 814445335 888485820 977334402 1332728730 1466001603 1628890670 1954668804 2443336005 2665457460 2932003206 3257781340 4886672010 5864006412 7330008015 9773344020 14660016030 29320032060 113889074027 227778148054 341667222081 455556296108 569445370135 683334444162 1025001666243 1138890740270 1252779814297 1366668888324 1708336110405 2050003332486 2277781480540 2505559628594 3416672220810 3758339442891 4100006664972 5011119257188 5125008331215 6263899071485 6833344441620 7516678885782 10250016662430 11275018328673 12527798142970 15033357771564 18791697214455 20500033324860 22550036657346 25055596285940 37583394428910 45100073314692 56375091643365 75166788857820 112750183286730 225500366573460