Search a number
-
+
207038900 = 22522299041
BaseRepresentation
bin11000101011100…
…10100110110100
3112102120122222102
430111302212310
5411000221100
632313321232
75062541645
oct1425624664
9472518872
10207038900
11a6960432
1259406218
1333b80133
141d6d56cc
1513299cd5
hexc5729b4

207038900 has 36 divisors (see below), whose sum is σ = 451286220. Its totient is φ = 82444800.

The previous prime is 207038899. The next prime is 207038929. The reversal of 207038900 is 9830702.

207038900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 42276004 + 164762896 = 6502^2 + 12836^2 .

It is a super-2 number, since 2×2070389002 = 85730212226420000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18380 + ... + 27420.

Almost surely, 2207038900 is an apocalyptic number.

207038900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

207038900 is an abundant number, since it is smaller than the sum of its proper divisors (244247320).

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

207038900 is a wasteful number, since it uses less digits than its factorization.

207038900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9284 (or 9277 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 207038900 is about 14388.8463748836. The cubic root of 207038900 is about 591.5852227600.

The spelling of 207038900 in words is "two hundred seven million, thirty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 229 458 916 1145 2290 4580 5725 9041 11450 18082 22900 36164 45205 90410 180820 226025 452050 904100 2070389 4140778 8281556 10351945 20703890 41407780 51759725 103519450 207038900