Search a number
-
+
2202133104 = 2432109307457
BaseRepresentation
bin1000001101000001…
…1110001001110000
312200110200221201100
42003100132021300
514002221224404
61002303204400
7105366552063
oct20320361160
95613627640
102202133104
11a30057216
125155a6700
132912ca552
1416c6748da
15cd4ddd39
hex8341e270

2202133104 has 120 divisors (see below), whose sum is σ = 6253367120. Its totient is φ = 723354624.

The previous prime is 2202133069. The next prime is 2202133127. The reversal of 2202133104 is 4013312022.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4818444 + ... + 4818900.

Almost surely, 22202133104 is an apocalyptic number.

2202133104 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 2202133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126683560).

2202133104 is an abundant number, since it is smaller than the sum of its proper divisors (4051234016).

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

2202133104 is a wasteful number, since it uses less digits than its factorization.

2202133104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2202133104 is about 46926.8910540641. The cubic root of 2202133104 is about 1301.0116590717.

Adding to 2202133104 its reverse (4013312022), we get a palindrome (6215445126).

The spelling of 2202133104 in words is "two billion, two hundred two million, one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 307 327 436 457 614 654 872 914 921 981 1228 1308 1371 1744 1828 1842 1962 2456 2616 2742 2763 3656 3684 3924 4113 4912 5232 5484 5526 7312 7368 7848 8226 10968 11052 14736 15696 16452 21936 22104 32904 33463 44208 49813 65808 66926 99626 100389 133852 140299 149439 199252 200778 267704 280598 298878 301167 398504 401556 420897 448317 535408 561196 597756 602334 797008 803112 841794 896634 1122392 1195512 1204668 1262691 1606224 1683588 1793268 2244784 2391024 2409336 2525382 3367176 3586536 4818672 5050764 6734352 7173072 10101528 15292591 20203056 30585182 45877773 61170364 91755546 122340728 137633319 183511092 244681456 275266638 367022184 550533276 734044368 1101066552 2202133104