Search a number
-
+
2008247100 = 2235229230833
BaseRepresentation
bin111011110110011…
…0110101100111100
312011221212112010020
41313230312230330
513103102401400
6531135412140
7100523550546
oct16754665474
95157775106
102008247100
1194066a852
12480684050
132600a40c2
14150a04696
15bb4912a0
hex77b36b3c

2008247100 has 72 divisors (see below), whose sum is σ = 6010917360. Its totient is φ = 517063680.

The previous prime is 2008247099. The next prime is 2008247107. The reversal of 2008247100 is 17428002.

It is a super-3 number, since 3×20082471003 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008247107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106717 + ... + 124116.

Almost surely, 22008247100 is an apocalyptic number.

2008247100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2008247100 is an abundant number, since it is smaller than the sum of its proper divisors (4002670260).

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

2008247100 is a wasteful number, since it uses less digits than its factorization.

2008247100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230879 (or 230872 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2008247100 is about 44813.4700731822. The cubic root of 2008247100 is about 1261.6504574509.

The spelling of 2008247100 in words is "two billion, eight million, two hundred forty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 230833 461666 692499 923332 1154165 1384998 2308330 2769996 3462495 4616660 5770825 6694157 6924990 11541650 13388314 13849980 17312475 20082471 23083300 26776628 33470785 34624950 40164942 66941570 69249900 80329884 100412355 133883140 167353925 200824710 334707850 401649420 502061775 669415700 1004123550 2008247100