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2069340100 = 225245492
BaseRepresentation
bin111101101010111…
…1001111111000100
312100012211100221221
41323111321333010
513214222340400
6541201050124
7102165046342
oct17325717704
95305740857
102069340100
119720a7933
12499026944
1326c9446c9
14158b88992
15c1a0cc1a
hex7b579fc4

2069340100 has 27 divisors (see below), whose sum is σ = 4491455367. Its totient is φ = 827554080.

The previous prime is 2069340047. The next prime is 2069340131. The reversal of 2069340100 is 10439602.

The square root of 2069340100 is 45490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21958596 + 2047381504 = 4686^2 + 45248^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 452626 + ... + 457174.

Almost surely, 22069340100 is an apocalyptic number.

2069340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2069340100 is the 45490-th square number.

It is an amenable number.

2069340100 is an abundant number, since it is smaller than the sum of its proper divisors (2422115267).

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

2069340100 is an frugal number, since it uses more digits than its factorization.

2069340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9112 (or 4556 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The cubic root of 2069340100 is about 1274.3164553432.

Multiplying 2069340100 by its sum of digits (25), we get a square (51733502500 = 2274502).

2069340100 divided by its sum of digits (25) gives a square (82773604 = 90982).

Multiplying 2069340100 by its product of nonzero digits (1296), we get a square (2681864769600 = 16376402).

Adding to 2069340100 its reverse (10439602), we get a palindrome (2079779702).

The spelling of 2069340100 in words is "two billion, sixty-nine million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4549 9098 18196 22745 45490 90980 113725 227450 454900 20693401 41386802 82773604 103467005 206934010 413868020 517335025 1034670050 2069340100