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212210431040 = 26523211136649
BaseRepresentation
bin1100010110100010111…
…0100011010001000000
3202021202022100211222002
43011220232203101000
511434101332243130
6241253234003132
721221525621216
oct3055056432100
9667668324862
10212210431040
1181aa828a823
1235164a164a8
131701bc50aba
14a3b1a38cb6
1557c040eb45
hex3168ba3440

212210431040 has 112 divisors (see below), whose sum is σ = 529799702400. Its totient is φ = 80808161280.

The previous prime is 212210431033. The next prime is 212210431049. The reversal of 212210431040 is 40134012212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (212210431049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1484636 + ... + 1621284.

Almost surely, 2212210431040 is an apocalyptic number.

212210431040 is a gapful number since it is divisible by the number (20) 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 212210431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264899851200).

212210431040 is an abundant number, since it is smaller than the sum of its proper divisors (317589271360).

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

212210431040 is a wasteful number, since it uses less digits than its factorization.

212210431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136900 (or 136890 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212210431040 its reverse (40134012212), we get a palindrome (252344443252).

The spelling of 212210431040 in words is "two hundred twelve billion, two hundred ten million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 211 230 320 368 422 460 736 844 920 1055 1472 1688 1840 2110 3376 3680 4220 4853 6752 7360 8440 9706 13504 16880 19412 24265 33760 38824 48530 67520 77648 97060 136649 155296 194120 273298 310592 388240 546596 683245 776480 1093192 1366490 1552960 2186384 2732980 3142927 4372768 5465960 6285854 8745536 10931920 12571708 15714635 21863840 25143416 28832939 31429270 43727680 50286832 57665878 62858540 100573664 115331756 125717080 144164695 201147328 230663512 251434160 288329390 461327024 502868320 576658780 663157597 922654048 1005736640 1153317560 1326315194 1845308096 2306635120 2652630388 3315787985 4613270240 5305260776 6631575970 9226540480 10610521552 13263151940 21221043104 26526303880 42442086208 53052607760 106105215520 212210431040