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2225503635564 = 2231129364788937
BaseRepresentation
bin100000011000101010010…
…110101000100001101100
321212202102011201110101110
4200120222112220201230
5242430312412314224
64422214322312020
7316534024531506
oct40305226504154
97782364643343
102225503635564
11788915868950
122bb3987b8610
13131b30545861
1479a01b78d76
153cd55459929
hex2062a5a886c

2225503635564 has 96 divisors (see below), whose sum is σ = 5693102102016. Its totient is φ = 671047022080.

The previous prime is 2225503635521. The next prime is 2225503635569. The reversal of 2225503635564 is 4655363055222.

It is a super-3 number, since 3×22255036355643 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2225503635569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24978904 + ... + 25067840.

It is an arithmetic number, because the mean of its divisors is an integer number (59303146896).

Almost surely, 22225503635564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225503635564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846551051008).

2225503635564 is an abundant number, since it is smaller than the sum of its proper divisors (3467598466452).

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

2225503635564 is a wasteful number, since it uses less digits than its factorization.

2225503635564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89895 (or 89893 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 48.

The spelling of 2225503635564 in words is "two trillion, two hundred twenty-five billion, five hundred three million, six hundred thirty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 293 586 647 879 1172 1294 1758 1941 2588 3223 3516 3882 6446 7117 7764 9669 12892 14234 19338 21351 28468 38676 42702 85404 88937 177874 189571 266811 355748 379142 533622 568713 758284 978307 1067244 1137426 1956614 2085281 2274852 2934921 3913228 4170562 5869842 6255843 8341124 11739684 12511686 25023372 26058541 52117082 57542239 78175623 104234164 115084478 156351246 172626717 230168956 286643951 312702492 345253434 573287902 632964629 690506868 859931853 1146575804 1265929258 1719863706 1898893887 2531858516 3439727412 3797787774 7595575548 16859876027 33719752054 50579628081 67439504108 101159256162 185458636297 202318512324 370917272594 556375908891 741834545188 1112751817782 2225503635564