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2104214300 = 2252413171619
BaseRepresentation
bin111110101101011…
…1100001100011100
312102122110011100222
41331122330030130
513302134324200
6544444340512
7103100345366
oct17532741434
95378404328
102104214300
1198a857391
124a8844738
13276c35126
1415d665d36
15c4aead85
hex7d6bc31c

2104214300 has 72 divisors (see below), whose sum is σ = 4695168240. Its totient is φ = 818060800.

The previous prime is 2104214293. The next prime is 2104214347. The reversal of 2104214300 is 34124012.

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, 1298891 + ... + 1300509.

It is an arithmetic number, because the mean of its divisors is an integer number (65210670).

Almost surely, 22104214300 is an apocalyptic number.

2104214300 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 2104214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347584120).

2104214300 is an abundant number, since it is smaller than the sum of its proper divisors (2590953940).

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

2104214300 is a wasteful number, since it uses less digits than its factorization.

2104214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2104214300 is about 45871.7156862483. The cubic root of 2104214300 is about 1281.4352187518.

Adding to 2104214300 its reverse (34124012), we get a palindrome (2138338312).

The spelling of 2104214300 in words is "two billion, one hundred four million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 317 410 634 820 1025 1268 1585 1619 2050 3170 3238 4100 6340 6476 7925 8095 12997 15850 16190 25994 31700 32380 40475 51988 64985 66379 80950 129970 132758 161900 259940 265516 324925 331895 513223 649850 663790 1026446 1299700 1327580 1659475 2052892 2566115 3318950 5132230 6637900 10264460 12830575 21042143 25661150 42084286 51322300 84168572 105210715 210421430 420842860 526053575 1052107150 2104214300