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2105435220 = 2235719439601
BaseRepresentation
bin111110101111110…
…0110010001010100
312102201202012011020
41331133212101110
513302442411340
6544530441140
7103113622050
oct17537462124
95381665136
102105435220
11990510709
124a91331b0
13277271a75
1415d8a2c60
15c4c8c9d0
hex7d7e6454

2105435220 has 192 divisors, whose sum is σ = 7119974400. Its totient is φ = 454118400.

The previous prime is 2105435219. The next prime is 2105435231. The reversal of 2105435220 is 225345012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3502920 + ... + 3503520.

It is an arithmetic number, because the mean of its divisors is an integer number (37083200).

Almost surely, 22105435220 is an apocalyptic number.

2105435220 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 2105435220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3559987200).

2105435220 is an abundant number, since it is smaller than the sum of its proper divisors (5014539180).

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

2105435220 is a wasteful number, since it uses less digits than its factorization.

2105435220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2105435220 is about 45885.0217391253. The cubic root of 2105435220 is about 1281.6830115409.

The spelling of 2105435220 in words is "two billion, one hundred five million, four hundred thirty-five thousand, two hundred twenty".