Search a number
-
+
2222103120 = 243561151783
BaseRepresentation
bin1000010001110010…
…1001101001010000
312201212021112102120
42010130221221100
514022324244440
61004255214240
7106031364516
oct20434515120
95655245376
102222103120
11a40356a66
12520217380
132954a0123
141711924b6
15d0135dd0
hex84729a50

2222103120 has 80 divisors (see below), whose sum is σ = 7001492352. Its totient is φ = 582842880.

The previous prime is 2222103119. The next prime is 2222103127. The reversal of 2222103120 is 213012222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2222103120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222103127) 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, 61252 + ... + 90531.

Almost surely, 22222103120 is an apocalyptic number.

2222103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2222103120 is an abundant number, since it is smaller than the sum of its proper divisors (4779389232).

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

2222103120 is a wasteful number, since it uses less digits than its factorization.

2222103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151860 (or 151854 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2222103120 is about 47139.1887923413. The cubic root of 2222103120 is about 1304.9325665013.

Adding to 2222103120 its reverse (213012222), we get a palindrome (2435115342).

The spelling of 2222103120 in words is "two billion, two hundred twenty-two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3660 4880 7320 14640 151783 303566 455349 607132 758915 910698 1214264 1517830 1821396 2276745 2428528 3035660 3642792 4553490 6071320 7285584 9106980 9258763 12142640 18213960 18517526 27776289 36427920 37035052 46293815 55552578 74070104 92587630 111105156 138881445 148140208 185175260 222210312 277762890 370350520 444420624 555525780 740701040 1111051560 2222103120