Search a number
-
+
2201412320 = 25547833527
BaseRepresentation
bin1000001100110110…
…1110001011100000
312200102100022222122
42003031232023200
514002030143240
61002235523412
7105360460502
oct20315561340
95612308878
102201412320
11a2a704728
125152b9568
13291107453
1416c527d72
15cd3ea4b5
hex8336e2e0

2201412320 has 96 divisors (see below), whose sum is σ = 5377010688. Its totient is φ = 851204608.

The previous prime is 2201412289. The next prime is 2201412337. The reversal of 2201412320 is 232141022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622397 + ... + 625923.

It is an arithmetic number, because the mean of its divisors is an integer number (56010528).

Almost surely, 22201412320 is an apocalyptic number.

2201412320 is a gapful number since it is divisible by the number (20) 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 2201412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688505344).

2201412320 is an abundant number, since it is smaller than the sum of its proper divisors (3175598368).

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

2201412320 is a wasteful number, since it uses less digits than its factorization.

2201412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2201412320 is about 46919.2105645438. The cubic root of 2201412320 is about 1300.8696981224.

Adding to 2201412320 its reverse (232141022), we get a palindrome (2433553342).

The spelling of 2201412320 in words is "two billion, two hundred one million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 83 94 160 166 188 235 332 376 415 470 664 752 830 940 1328 1504 1660 1880 2656 3320 3527 3760 3901 6640 7054 7520 7802 13280 14108 15604 17635 19505 28216 31208 35270 39010 56432 62416 70540 78020 112864 124832 141080 156040 165769 282160 292741 312080 331538 564320 585482 624160 663076 828845 1170964 1326152 1463705 1657690 2341928 2652304 2927410 3315380 4683856 5304608 5854820 6630760 9367712 11709640 13261520 13758827 23419280 26523040 27517654 46838560 55035308 68794135 110070616 137588270 220141232 275176540 440282464 550353080 1100706160 2201412320