[go: up one dir, main page]

Search a number
-
+
2201134122 = 2331159181347
BaseRepresentation
bin1000001100110010…
…1010010000101010
312200101211012101000
42003030222100222
514001442242442
61002225535430
7105355221435
oct20314522052
95611735330
102201134122
11a2a534710
125151a4576
1329103a935
1416c49481c
15cd392d4c
hex8332a42a

2201134122 has 128 divisors (see below), whose sum is σ = 5472230400. Its totient is φ = 650203200.

The previous prime is 2201134121. The next prime is 2201134123. The reversal of 2201134122 is 2214311022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2201134121) and next prime (2201134123).

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

It is a junction number, because it is equal to n+sod(n) for n = 2201134095 and 2201134104.

It is not an unprimeable number, because it can be changed into a prime (2201134121) 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, 6343153 + ... + 6343499.

It is an arithmetic number, because the mean of its divisors is an integer number (42751800).

Almost surely, 22201134122 is an apocalyptic number.

2201134122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201134122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736115200).

2201134122 is an abundant number, since it is smaller than the sum of its proper divisors (3271096278).

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

2201134122 is a wasteful number, since it uses less digits than its factorization.

2201134122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2201134122 is about 46916.2458216767. The cubic root of 2201134122 is about 1300.8148977576.

Adding to 2201134122 its reverse (2214311022), we get a palindrome (4415445144).

Subtracting 2201134122 from its reverse (2214311022), we obtain a square (13176900 = 36302).

The spelling of 2201134122 in words is "two billion, two hundred one million, one hundred thirty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 177 181 198 297 347 354 362 531 543 594 649 694 1041 1062 1086 1298 1593 1629 1947 1991 2082 3123 3186 3258 3817 3894 3982 4887 5841 5973 6246 7634 9369 9774 10679 11451 11682 11946 17523 17919 18738 20473 21358 22902 32037 34353 35046 35838 40946 53757 61419 62807 64074 68706 96111 103059 107514 117469 122838 125614 184257 188421 192222 206118 225203 234938 288333 352407 368514 376842 450406 552771 565263 576666 675609 690877 704814 1057221 1105542 1130526 1351218 1381754 1695789 2026827 2072631 2114442 3171663 3391578 3705613 4053654 4145262 6080481 6217893 6343326 7411226 11116839 12160962 12435786 18653679 22233678 33350517 37307358 40761743 66701034 81523486 100051551 122285229 200103102 244570458 366855687 733711374 1100567061 2201134122