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2102220 = 2233517229
BaseRepresentation
bin1000000001001111001100
310221210201000
420001033030
51014232340
6113020300
723603631
oct10011714
93853630
102102220
11120647a
12854690
13587b23
143ca188
152b7d30
hex2013cc

2102220 has 96 divisors (see below), whose sum is σ = 6955200. Its totient is φ = 525312.

The previous prime is 2102213. The next prime is 2102249. The reversal of 2102220 is 222012.

2102220 is digitally balanced in base 5, 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 (9).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9066 + ... + 9294.

It is an arithmetic number, because the mean of its divisors is an integer number (72450).

22102220 is an apocalyptic number.

2102220 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 2102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477600).

2102220 is an abundant number, since it is smaller than the sum of its proper divisors (4852980).

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

2102220 is a wasteful number, since it uses less digits than its factorization.

2102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2102220 is about 1449.9034450611. The cubic root of 2102220 is about 128.1030257774.

Adding to 2102220 its reverse (222012), we get a palindrome (2324232).

The spelling of 2102220 in words is "two million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 229 255 270 306 340 458 459 510 540 612 687 765 916 918 1020 1145 1374 1530 1836 2061 2290 2295 2748 3060 3435 3893 4122 4580 4590 6183 6870 7786 8244 9180 10305 11679 12366 13740 15572 19465 20610 23358 24732 30915 35037 38930 41220 46716 58395 61830 70074 77860 105111 116790 123660 140148 175185 210222 233580 350370 420444 525555 700740 1051110 2102220