Search a number
-
+
2101222242 = 233767163509
BaseRepresentation
bin111110100111110…
…0001101101100010
312102102211011001000
41331033201231202
513300403102432
6544300252430
7103033044240
oct17517415542
95372734030
102101222242
119890a3409
124a7841116
13276428292
1415d0c7790
15c470957c
hex7d3e1b62

2101222242 has 128 divisors (see below), whose sum is σ = 5460019200. Its totient is φ = 586605888.

The previous prime is 2101222199. The next prime is 2101222261. The reversal of 2101222242 is 2422221012.

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 63 ways as a sum of consecutive naturals, for example, 4127884 + ... + 4128392.

It is an arithmetic number, because the mean of its divisors is an integer number (42656400).

Almost surely, 22101222242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101222242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730009600).

2101222242 is an abundant number, since it is smaller than the sum of its proper divisors (3358796958).

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

2101222242 is a wasteful number, since it uses less digits than its factorization.

2101222242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2101222242 is about 45839.0907632339. The cubic root of 2101222242 is about 1280.8275576991.

Adding to 2101222242 its reverse (2422221012), we get a palindrome (4523443254).

The spelling of 2101222242 in words is "two billion, one hundred one million, two hundred twenty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 126 134 163 189 201 326 378 402 469 489 509 603 938 978 1018 1141 1206 1407 1467 1527 1809 2282 2814 2934 3054 3423 3563 3618 4221 4401 4581 6846 7126 8442 8802 9162 10269 10689 10921 12663 13743 20538 21378 21842 25326 27486 30807 32067 32763 34103 61614 64134 65526 68206 76447 82967 96201 98289 102309 152894 165934 192402 196578 204618 229341 238721 248901 294867 306927 458682 477442 497802 580769 589734 613854 688023 716163 746703 920781 1161538 1376046 1432326 1493406 1742307 1841562 2064069 2148489 2240109 3484614 4128138 4296978 4480218 5226921 5558789 6445467 10453842 11117578 12890934 15680763 16676367 31361526 33352734 38911523 50029101 77823046 100058202 116734569 150087303 233469138 300174606 350203707 700407414 1050611121 2101222242