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2101222344 = 23313107113557
BaseRepresentation
bin111110100111110…
…0001101111001000
312102102211011011210
41331033201233020
513300403103334
6544300253120
7103033044444
oct17517415710
95372734153
102101222344
119890a34a1
124a78411a0
13276428340
1415d0c7824
15c47095e9
hex7d3e1bc8

2101222344 has 128 divisors (see below), whose sum is σ = 5770880640. Its totient is φ = 633679872.

The previous prime is 2101222337. The next prime is 2101222349. The reversal of 2101222344 is 4432221012.

It is a self number, because there is not a number n which added to its sum of digits gives 2101222344.

It is not an unprimeable number, because it can be changed into a prime (2101222349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3772114 + ... + 3772670.

It is an arithmetic number, because the mean of its divisors is an integer number (45085005).

Almost surely, 22101222344 is an apocalyptic number.

2101222344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101222344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885440320).

2101222344 is an abundant number, since it is smaller than the sum of its proper divisors (3669658296).

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

2101222344 is a wasteful number, since it uses less digits than its factorization.

2101222344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2101222344 is about 45839.0918758214. The cubic root of 2101222344 is about 1280.8275784242.

Adding to 2101222344 its reverse (4432221012), we get a palindrome (6533443356).

The spelling of 2101222344 in words is "two billion, one hundred one million, two hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 113 156 214 226 312 321 339 428 452 557 642 678 856 904 1114 1284 1356 1391 1469 1671 2228 2568 2712 2782 2938 3342 4173 4407 4456 5564 5876 6684 7241 8346 8814 11128 11752 12091 13368 14482 16692 17628 21723 24182 28964 33384 35256 36273 43446 48364 57928 59599 62941 72546 86892 96728 119198 125882 145092 157183 173784 178797 188823 238396 251764 290184 314366 357594 377646 471549 476792 503528 628732 715188 755292 774787 818233 943098 1257464 1430376 1510584 1549574 1636466 1886196 2324361 2454699 3099148 3272932 3772392 4648722 4909398 6198296 6545864 6734687 9297444 9818796 13469374 18594888 19637592 20204061 26938748 40408122 53877496 80816244 87550931 161632488 175101862 262652793 350203724 525305586 700407448 1050611172 2101222344