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220100000 = 25553171
BaseRepresentation
bin11010001111001…
…11010110100000
3120100011020102212
431013213112200
5422321200000
633501301252
75311550651
oct1507472640
9510136385
10220100000
1110327142a
1261864828
13367a40b3
1421335528
15144c9c35
hexd1e75a0

220100000 has 144 divisors (see below), whose sum is σ = 566963712. Its totient is φ = 84000000.

The previous prime is 220099973. The next prime is 220100039. The reversal of 220100000 is 1022.

220100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 3099965 + ... + 3100035.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2220100000 is an apocalyptic number.

220100000 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 220100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283481856).

220100000 is an abundant number, since it is smaller than the sum of its proper divisors (346863712).

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

220100000 is an frugal number, since it uses more digits than its factorization.

220100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 220100000 is about 14835.7675905226. The cubic root of 220100000 is about 603.7725266540.

Adding to 220100000 its reverse (1022), we get a palindrome (220101022).

The spelling of 220100000 in words is "two hundred twenty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 71 80 100 124 125 142 155 160 200 248 250 284 310 355 400 496 500 568 620 625 710 775 800 992 1000 1136 1240 1250 1420 1550 1775 2000 2201 2272 2480 2500 2840 3100 3125 3550 3875 4000 4402 4960 5000 5680 6200 6250 7100 7750 8804 8875 10000 11005 11360 12400 12500 14200 15500 17608 17750 19375 20000 22010 24800 25000 28400 31000 35216 35500 38750 44020 44375 50000 55025 56800 62000 70432 71000 77500 88040 88750 96875 100000 110050 124000 142000 155000 176080 177500 193750 220100 221875 275125 284000 310000 352160 355000 387500 440200 443750 550250 620000 710000 775000 880400 887500 1100500 1375625 1420000 1550000 1760800 1775000 2201000 2751250 3100000 3550000 4402000 5502500 6878125 7100000 8804000 11005000 13756250 22010000 27512500 44020000 55025000 110050000 220100000