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212245253334 = 232176726473911
BaseRepresentation
bin1100010110101011001…
…1011000110011010110
3202021211201220000011200
43011222303120303112
511434134241101314
6241300520213330
721222430613022
oct3055263306326
9667751800150
10212245253334
1182015a04284
123517460a246
13170262239ca
14a3b6501382
1557c34dc709
hex316acd8cd6

212245253334 has 96 divisors (see below), whose sum is σ = 494496078336. Its totient is φ = 65551368960.

The previous prime is 212245253327. The next prime is 212245253411. The reversal of 212245253334 is 433352542212.

212245253334 is a `hidden beast` number, since 2 + 1 + 224 + 52 + 53 + 334 = 666.

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, 54266839 + ... + 54270749.

It is an arithmetic number, because the mean of its divisors is an integer number (5151000816).

Almost surely, 2212245253334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212245253334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247248039168).

212245253334 is an abundant number, since it is smaller than the sum of its proper divisors (282250825002).

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

212245253334 is a wasteful number, since it uses less digits than its factorization.

212245253334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6650 (or 6647 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 212245253334 its reverse (433352542212), we get a palindrome (645597795546).

The spelling of 212245253334 in words is "two hundred twelve billion, two hundred forty-five million, two hundred fifty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 67 102 134 153 201 306 402 603 1139 1206 2278 2647 3417 3911 5294 6834 7822 7941 10251 11733 15882 20502 23466 23823 35199 44999 47646 66487 70398 89998 132974 134997 177349 199461 262037 269994 354698 398922 404991 524074 532047 598383 786111 809982 1064094 1196766 1572222 1596141 2358333 3014933 3192282 4454629 4716666 6029866 8909258 9044799 10352417 13363887 18089598 20704834 26727774 27134397 31057251 40091661 54268794 62114502 80183322 93171753 175991089 186343506 351982178 527973267 693611939 1055946534 1387223878 1583919801 2080835817 3167839602 4161671634 6242507451 11791402963 12485014902 23582805926 35374208889 70748417778 106122626667 212245253334