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222120002012070 = 23553732609733489
BaseRepresentation
bin110010100000010001010111…
…110100010100001110100110
31002010110110112211220020201210
4302200101113310110032212
5213103203231003341240
62104224304212132250
764533432500200131
oct6240212764241646
91063413484806653
10222120002012070
116485762252aa58
1220ab4417307086
1396c2a985470c6
143cbc94603d218
151aa2cb7154780
hexca0457d143a6

222120002012070 has 128 divisors (see below), whose sum is σ = 550798413436800. Its totient is φ = 57296280158208.

The previous prime is 222120002011993. The next prime is 222120002012071. The reversal of 222120002012070 is 70210200021222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222120002012071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302459886 + ... + 303193374.

It is an arithmetic number, because the mean of its divisors is an integer number (4303112604975).

Almost surely, 2222120002012070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222120002012070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275399206718400).

222120002012070 is an abundant number, since it is smaller than the sum of its proper divisors (328678411424730).

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

222120002012070 is a wasteful number, since it uses less digits than its factorization.

222120002012070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736234.

The product of its (nonzero) digits is 448, while the sum is 21.

Adding to 222120002012070 its reverse (70210200021222), we get a palindrome (292330202033292).

The spelling of 222120002012070 in words is "two hundred twenty-two trillion, one hundred twenty billion, two million, twelve thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 53 73 106 146 159 219 265 318 365 438 530 730 795 1095 1590 2190 2609 3869 5218 7738 7827 11607 13045 15654 19345 23214 26090 38690 39135 58035 78270 116070 138277 190457 276554 380914 414831 571371 691385 733489 829662 952285 1142742 1382770 1466978 1904570 2074155 2200467 2856855 3667445 4148310 4400934 5713710 7334890 10094221 11002335 20188442 22004670 30282663 38874917 50471105 53544697 60565326 77749834 100942210 107089394 116624751 151413315 160634091 194374585 233249502 267723485 302826630 321268182 388749170 535446970 583123755 803170455 1166247510 1606340910 1913672801 2837868941 3827345602 5675737882 5741018403 8513606823 9568364005 11482036806 14189344705 17027213646 19136728010 28378689410 28705092015 42568034115 57410184030 85136068230 101424658453 139698114473 202849316906 279396228946 304273975359 419094343419 507123292265 608547950718 698490572365 838188686838 1014246584530 1396981144730 1521369876795 2095471717095 3042739753590 4190943434190 7404000067069 14808000134138 22212000201207 37020000335345 44424000402414 74040000670690 111060001006035 222120002012070