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211332512216 = 23717353628861
BaseRepresentation
bin1100010011010001100…
…1100011100111011000
3202012111010101221202002
43010310121203213120
511430302110342331
6241030153100132
721161005500140
oct3046431434730
9665433357662
10211332512216
118169776a381
1234b5a9b7648
1316c0c0b8bc7
14a32b1c9920
15576d2e59cb
hex31346639d8

211332512216 has 64 divisors (see below), whose sum is σ = 480853039680. Its totient is φ = 85001748480.

The previous prime is 211332512207. The next prime is 211332512243. The reversal of 211332512216 is 612215233112.

211332512216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2113325122162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21626 + ... + 650486.

It is an arithmetic number, because the mean of its divisors is an integer number (7513328745).

Almost surely, 2211332512216 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 211332512216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240426519840).

211332512216 is an abundant number, since it is smaller than the sum of its proper divisors (269520527464).

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

211332512216 is a wasteful number, since it uses less digits than its factorization.

211332512216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629244 (or 629240 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

Adding to 211332512216 its reverse (612215233112), we get a palindrome (823547745328).

The spelling of 211332512216 in words is "two hundred eleven billion, three hundred thirty-two million, five hundred twelve thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 353 476 706 952 1412 2471 2824 4942 6001 9884 12002 19768 24004 42007 48008 84014 168028 336056 628861 1257722 2515444 4402027 5030888 8804054 10690637 17608108 21381274 35216216 42762548 74834459 85525096 149668918 221987933 299337836 443975866 598675672 887951732 1553915531 1775903464 3107831062 3773794861 6215662124 7547589722 12431324248 15095179444 26416564027 30190358888 52833128054 105666256108 211332512216