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2234504561220 = 22325163665911437
BaseRepresentation
bin100000100001000010110…
…110011100001001000100
321220121122110112212011100
4200201002312130021010
5243102231131424340
64430303415340100
7320303051246331
oct40410266341104
97817573485140
102234504561220
11791714631588
1230108b081630
1313293625b279
147a217351988
153d1d076a830
hex20842d9c244

2234504561220 has 144 divisors (see below), whose sum is σ = 6821200451520. Its totient is φ = 592071545088.

The previous prime is 2234504561197. The next prime is 2234504561227. The reversal of 2234504561220 is 221654054322.

2234504561220 is a `hidden beast` number, since 2 + 2 + 34 + 5 + 0 + 4 + 5 + 612 + 2 + 0 = 666.

It is a super-2 number, since 2×22345045612202 (a number of 25 digits) contains 22 as substring.

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 (2234504561227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195369342 + ... + 195380778.

It is an arithmetic number, because the mean of its divisors is an integer number (47369447580).

Almost surely, 22234504561220 is an apocalyptic number.

2234504561220 is a gapful number since it is divisible by the number (20) 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 2234504561220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410600225760).

2234504561220 is an abundant number, since it is smaller than the sum of its proper divisors (4586695890300).

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

2234504561220 is a wasteful number, since it uses less digits than its factorization.

2234504561220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18274 (or 18269 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2234504561220 in words is "two trillion, two hundred thirty-four billion, five hundred four million, five hundred sixty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 163 180 326 489 652 815 978 1467 1630 1956 2445 2934 3260 4890 5868 6659 7335 9780 11437 13318 14670 19977 22874 26636 29340 33295 34311 39954 45748 57185 59931 66590 68622 79908 99885 102933 114370 119862 133180 137244 171555 199770 205866 228740 239724 299655 343110 399540 411732 514665 599310 686220 1029330 1085417 1198620 1864231 2058660 2170834 3256251 3728462 4341668 5427085 5592693 6512502 7456924 9321155 9768753 10854170 11185386 13025004 16281255 16778079 18642310 19537506 21708340 22370772 27963465 32562510 33556158 37284620 39075012 48843765 55926930 65125020 67112316 76158983 83890395 97687530 111853860 152317966 167780790 195375060 228476949 304635932 335561580 380794915 456953898 685430847 761589830 913907796 1142384745 1370861694 1523179660 2284769490 2741723388 3427154235 4569538980 6854308470 12413914229 13708616940 24827828458 37241742687 49655656916 62069571145 74483485374 111725228061 124139142290 148966970748 186208713435 223450456122 248278284580 372417426870 446900912244 558626140305 744834853740 1117252280610 2234504561220