Search a number
-
+
2212020201200 = 245247773152213
BaseRepresentation
bin100000001100000110101…
…011011010011011110000
321211110121111021000122112
4200030012223122123300
5242220204132414300
64412104341424452
7315545631323315
oct40140653323360
97743544230575
102212020201200
11783126811067
122b885510b128
13130791c6bc24
14790c312ad0c
153c816862e35
hex20306ada6f0

2212020201200 has 120 divisors (see below), whose sum is σ = 5434507401408. Its totient is φ = 864856407040.

The previous prime is 2212020201199. The next prime is 2212020201217. The reversal of 2212020201200 is 21020202122.

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, 14456294 + ... + 14608506.

Almost surely, 22212020201200 is an apocalyptic number.

2212020201200 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 2212020201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717253700704).

2212020201200 is an abundant number, since it is smaller than the sum of its proper divisors (3222487200208).

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

2212020201200 is a wasteful number, since it uses less digits than its factorization.

2212020201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153051 (or 153040 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2212020201200 its reverse (21020202122), we get a palindrome (2233040403322).

The spelling of 2212020201200 in words is "two trillion, two hundred twelve billion, twenty million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 188 200 235 376 400 470 752 773 940 1175 1546 1880 2350 3092 3760 3865 4700 6184 7730 9400 12368 15460 18800 19325 30920 36331 38650 61840 72662 77300 145324 152213 154600 181655 290648 304426 309200 363310 581296 608852 726620 761065 908275 1217704 1453240 1522130 1816550 2435408 2906480 3044260 3633100 3805325 6088520 7154011 7266200 7610650 12177040 14308022 14532400 15221300 28616044 30442600 35770055 57232088 60885200 71540110 114464176 117660649 143080220 178850275 235321298 286160440 357700550 470642596 572320880 588303245 715401100 941285192 1176606490 1430802200 1882570384 2353212980 2861604400 2941516225 4706425960 5530050503 5883032450 9412851920 11060101006 11766064900 22120202012 23532129800 27650252515 44240404024 47064259600 55300505030 88480808048 110601010060 138251262575 221202020120 276502525150 442404040240 553005050300 1106010100600 2212020201200