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220340403200 = 2105244319429
BaseRepresentation
bin1100110100110101001…
…1111011110000000000
3210001201220100020011002
43031031103323300000
512102224120400300
6245120055311132
721630145345031
oct3151523736000
9701656306132
10220340403200
118549a460185
123685367b4a8
1317a1639cb08
14a943696a88
155ae90305d5
hex334d4fbc00

220340403200 has 132 divisors (see below), whose sum is σ = 547438462440. Its totient is φ = 87932682240.

The previous prime is 220340403197. The next prime is 220340403203. The reversal of 220340403200 is 2304043022.

It is an interprime number because it is at equal distance from previous prime (220340403197) and next prime (220340403203).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220340403203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11331086 + ... + 11350514.

Almost surely, 2220340403200 is an apocalyptic number.

220340403200 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 220340403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273719231220).

220340403200 is an abundant number, since it is smaller than the sum of its proper divisors (327098059240).

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

220340403200 is a wasteful number, since it uses less digits than its factorization.

220340403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19902 (or 19879 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 220340403200 its reverse (2304043022), we get a palindrome (222644446222).

The spelling of 220340403200 in words is "two hundred twenty billion, three hundred forty million, four hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 443 512 640 800 886 1024 1280 1600 1772 2215 2560 3200 3544 4430 5120 6400 7088 8860 11075 12800 14176 17720 19429 22150 25600 28352 35440 38858 44300 56704 70880 77716 88600 97145 113408 141760 155432 177200 194290 226816 283520 310864 354400 388580 453632 485725 567040 621728 708800 777160 971450 1134080 1243456 1417600 1554320 1942900 2268160 2486912 2835200 3108640 3885800 4973824 5670400 6217280 7771600 8607047 9947648 11340800 12434560 15543200 17214094 19895296 24869120 31086400 34428188 43035235 49738240 62172800 68856376 86070470 99476480 124345600 137712752 172140940 215176175 248691200 275425504 344281880 430352350 497382400 550851008 688563760 860704700 1101702016 1377127520 1721409400 2203404032 2754255040 3442818800 4406808064 5508510080 6885637600 8813616128 11017020160 13771275200 22034040320 27542550400 44068080640 55085100800 110170201600 220340403200