Search a number
-
+
21907212210 = 2345132338929
BaseRepresentation
bin10100011001110001…
…011000011110110010
32002112202021200120000
4110121301120132302
5324331221242320
614021455330430
71403611142232
oct243161303662
962482250500
1021907212210
119322060864
1242b4820a16
1320b1865180
1410bb709cc2
15883400c90
hex519c587b2

21907212210 has 160 divisors (see below), whose sum is σ = 63716693040. Its totient is φ = 5368799232.

The previous prime is 21907212203. The next prime is 21907212227. The reversal of 21907212210 is 1221270912.

It can be written as a sum of positive squares in 8 ways, for example, as 92217609 + 21814994601 = 9603^2 + 147699^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2449026 + ... + 2457954.

Almost surely, 221907212210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21907212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31858346520).

21907212210 is an abundant number, since it is smaller than the sum of its proper divisors (41809480830).

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

21907212210 is a wasteful number, since it uses less digits than its factorization.

21907212210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9194 (or 9185 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 21907212210 in words is "twenty-one billion, nine hundred seven million, two hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 233 234 270 351 390 405 466 585 699 702 810 1053 1165 1170 1398 1755 2097 2106 2330 3029 3495 3510 4194 5265 6058 6291 6990 8929 9087 10485 10530 12582 15145 17858 18174 18873 20970 26787 27261 30290 31455 37746 44645 45435 53574 54522 62910 80361 81783 89290 90870 94365 116077 133935 136305 160722 163566 188730 232154 241083 245349 267870 272610 348231 401805 408915 482166 490698 580385 696462 723249 803610 817830 1044693 1160770 1205415 1226745 1446498 1741155 2080457 2089386 2410830 2453490 3134079 3482310 3616245 4160914 5223465 6241371 6268158 7232490 9402237 10402285 10446930 12482742 15670395 18724113 18804474 20804570 27045941 31206855 31340790 37448226 47011185 54091882 56172339 62413710 81137823 93620565 94022370 112344678 135229705 162275646 168517017 187241130 243413469 270459410 280861695 337034034 405689115 486826938 561723390 730240407 811378230 842585085 1217067345 1460480814 1685170170 2190721221 2434134690 3651202035 4381442442 7302404070 10953606105 21907212210