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22042232010 = 2325537196427
BaseRepresentation
bin10100100001110100…
…011100010011001010
32002220011100101220100
4110201310130103022
5330120302411020
614043121310230
71410140611041
oct244164342312
962804311810
1022042232010
1193912a1177
124331a95376
13210381a746
1410d1615558
158901c1a90
hex521d1c4ca

22042232010 has 96 divisors (see below), whose sum is σ = 58481429760. Its totient is φ = 5758107264.

The previous prime is 22042231951. The next prime is 22042232029. The reversal of 22042232010 is 1023224022.

22042232010 is a `hidden beast` number, since 220 + 422 + 3 + 20 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3426417 + ... + 3432843.

It is an arithmetic number, because the mean of its divisors is an integer number (609181560).

Almost surely, 222042232010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22042232010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29240714880).

22042232010 is an abundant number, since it is smaller than the sum of its proper divisors (36439197750).

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

22042232010 is a wasteful number, since it uses less digits than its factorization.

22042232010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7212 (or 7209 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22042232010 its reverse (1023224022), we get a palindrome (23065456032).

The spelling of 22042232010 in words is "twenty-two billion, forty-two million, two hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 719 795 954 1438 1590 2157 2385 3595 4314 4770 6427 6471 7190 10785 12854 12942 19281 21570 32135 32355 38107 38562 57843 64270 64710 76214 96405 114321 115686 190535 192810 228642 289215 340631 342963 381070 571605 578430 681262 685926 1021893 1143210 1703155 1714815 2043786 3065679 3406310 3429630 4621013 5109465 6131358 9242026 10218930 13863039 15328395 23105065 27726078 30656790 41589117 46210130 69315195 83178234 138630390 207945585 244913689 415891170 489827378 734741067 1224568445 1469482134 2204223201 2449136890 3673705335 4408446402 7347410670 11021116005 22042232010