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10223063316 = 223219311672887
BaseRepresentation
bin10011000010101011…
…11001000100010100
3222101110111102110200
421201111321010110
5131414101011231
64410231420500
7511223414214
oct114125710424
928343442420
1010223063316
11437671a864
121b93824730
13c6bc8b2bb
146cda2a244
153ec770be6
hex261579114

10223063316 has 144 divisors (see below), whose sum is σ = 28257116160. Its totient is φ = 3104412480.

The previous prime is 10223063273. The next prime is 10223063341. The reversal of 10223063316 is 61336032201.

It is a happy number.

10223063316 is a `hidden beast` number, since 1 + 0 + 2 + 23 + 0 + 633 + 1 + 6 = 666.

It is a super-3 number, since 3×102230633163 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10223063316.

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, 3539625 + ... + 3542511.

Almost surely, 210223063316 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 10223063316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128558080).

10223063316 is an abundant number, since it is smaller than the sum of its proper divisors (18034052844).

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

10223063316 is a wasteful number, since it uses less digits than its factorization.

10223063316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10223063316 its reverse (61336032201), we get a palindrome (71559095517).

The spelling of 10223063316 in words is "ten billion, two hundred twenty-three million, sixty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 167 171 186 228 279 334 342 372 501 558 589 668 684 1002 1116 1178 1503 1767 2004 2356 2887 3006 3173 3534 5177 5301 5774 6012 6346 7068 8661 9519 10354 10602 11548 12692 15531 17322 19038 20708 21204 25983 28557 31062 34644 38076 46593 51966 54853 57114 62124 89497 93186 98363 103932 109706 114228 164559 178994 186372 196726 219412 268491 295089 329118 357988 393452 482129 493677 536982 590178 658236 805473 885267 964258 987354 1073964 1180356 1446387 1610946 1700443 1770534 1928516 1974708 2892774 3221892 3400886 3541068 4339161 5101329 5785548 6801772 8678322 9160451 10202658 14945999 15303987 17356644 18320902 20405316 27481353 29891998 30607974 36641804 44837997 54962706 59783996 61215948 82444059 89675994 109925412 134513991 164888118 179351988 269027982 283973981 329776236 538055964 567947962 851921943 1135895924 1703843886 2555765829 3407687772 5111531658 10223063316