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211230405864 = 2332171223141107
BaseRepresentation
bin1100010010111001010…
…0000011010011101000
3202012020000021102011100
43010232110003103220
511430044440441424
6241012104401400
721155325553032
oct3045624032350
9665200242140
10211230405864
118164506a365
1234b30776260
1316bc3bb874a
14a31b80ac52
155764376dc9
hex312e5034e8

211230405864 has 96 divisors (see below), whose sum is σ = 606233833920. Its totient is φ = 66213708288.

The previous prime is 211230405853. The next prime is 211230405887. The reversal of 211230405864 is 468504032112.

It is a happy number.

211230405864 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 30 + 40 + 586 + 4 = 666.

It is a super-2 number, since 2×2112304058642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1426399 + ... + 1567505.

It is an arithmetic number, because the mean of its divisors is an integer number (6314935770).

Almost surely, 2211230405864 is an apocalyptic number.

211230405864 is a gapful number since it is divisible by the number (24) 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 211230405864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303116916960).

211230405864 is an abundant number, since it is smaller than the sum of its proper divisors (395003428056).

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

211230405864 is a wasteful number, since it uses less digits than its factorization.

211230405864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142359 (or 142352 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 211230405864 its reverse (468504032112), we get a palindrome (679734437976).

The spelling of 211230405864 in words is "two hundred eleven billion, two hundred thirty million, four hundred five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1223 1224 2446 3669 4892 7338 9784 11007 14676 20791 22014 29352 41582 44028 62373 83164 88056 124746 141107 166328 187119 249492 282214 374238 423321 498984 564428 748476 846642 1128856 1269963 1496952 1693284 2398819 2539926 3386568 4797638 5079852 7196457 9595276 10159704 14392914 19190552 21589371 28785828 43178742 57571656 86357484 172573861 172714968 345147722 517721583 690295444 1035443166 1380590888 1553164749 2070886332 2933755637 3106329498 4141772664 5867511274 6212658996 8801266911 11735022548 12425317992 17602533822 23470045096 26403800733 35205067644 52807601466 70410135288 105615202932 211230405864