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226659712050 = 2345274812
BaseRepresentation
bin1101001100010111111…
…0001011110000110010
3210200001022020101020000
43103011332023300302
512203144341241200
6252043120130430
722242560523012
oct3230576136062
9720038211200
10226659712050
1188142553482
1237b17a66a16
13184b2667315
14ad82a63c42
155d68bdd300
hex34c5f8bc32

226659712050 has 90 divisors (see below), whose sum is σ = 629862402279. Its totient is φ = 60434510400.

The previous prime is 226659711989. The next prime is 226659712091. The reversal of 226659712050 is 50217956622.

226659712050 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 597 + 1 + 2 + 0 + 50 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 171865797489 + 54793914561 = 414567^2 + 234081^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=336645.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 226659711987 and 226659712005.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 30294310 + ... + 30301790.

Almost surely, 2226659712050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226659712050

226659712050 is an abundant number, since it is smaller than the sum of its proper divisors (403202690229).

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

226659712050 is an frugal number, since it uses more digits than its factorization.

226659712050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14986 (or 7491 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 226659712050 in words is "two hundred twenty-six billion, six hundred fifty-nine million, seven hundred twelve thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 4050 7481 14962 22443 37405 44886 67329 74810 112215 134658 187025 201987 224430 336645 374050 403974 561075 605961 673290 1009935 1122150 1211922 1683225 2019870 3029805 3366450 5049675 6059610 10099350 15149025 30298050 55965361 111930722 167896083 279826805 335792166 503688249 559653610 839480415 1007376498 1399134025 1511064747 1678960830 2518441245 2798268050 3022129494 4197402075 4533194241 5036882490 7555323735 8394804150 9066388482 12592206225 15110647470 22665971205 25184412450 37776618675 45331942410 75553237350 113329856025 226659712050