Search a number
-
+
2121223212 = 223217291071117
BaseRepresentation
bin111111001101111…
…0100110000101100
312110211110022012200
41332123310300230
513321013120322
6550253101500
7103365046143
oct17633646054
95424408180
102121223212
11999414439
124b2487890
1327a60bc84
14161a1275a
15c635a8ac
hex7e6f4c2c

2121223212 has 144 divisors (see below), whose sum is σ = 5933360160. Its totient is φ = 635959296.

The previous prime is 2121223207. The next prime is 2121223219. The reversal of 2121223212 is 2123221212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2121223219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1898478 + ... + 1899594.

It is an arithmetic number, because the mean of its divisors is an integer number (41203890).

Almost surely, 22121223212 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 2121223212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966680080).

2121223212 is an abundant number, since it is smaller than the sum of its proper divisors (3812136948).

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

2121223212 is a wasteful number, since it uses less digits than its factorization.

2121223212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1275 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2121223212 is about 46056.7390508707. The cubic root of 2121223212 is about 1284.8786820419.

Adding to 2121223212 its reverse (2123221212), we get a palindrome (4244444424).

The spelling of 2121223212 in words is "two billion, one hundred twenty-one million, two hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 107 116 153 174 204 214 261 306 321 348 428 493 522 612 642 963 986 1044 1117 1284 1479 1819 1926 1972 2234 2958 3103 3351 3638 3852 4437 4468 5457 5916 6206 6702 7276 8874 9309 10053 10914 12412 13404 16371 17748 18618 18989 20106 21828 27927 32393 32742 37236 37978 40212 52751 55854 56967 64786 65484 75956 97179 105502 111708 113934 119519 129572 158253 170901 194358 211004 227868 239038 291537 316506 341802 358557 388716 474759 478076 550681 583074 633012 683604 717114 949518 1075671 1101362 1166148 1434228 1652043 1899036 2031823 2151342 2202724 3304086 3466051 4063646 4302684 4956129 6095469 6608172 6932102 8127292 9912258 10398153 12190938 13864204 18286407 19824516 20796306 24381876 31194459 36572814 41592612 58922867 62388918 73145628 117845734 124777836 176768601 235691468 353537202 530305803 707074404 1060611606 2121223212