Search a number
-
+
234205003220 = 22564118268721
BaseRepresentation
bin1101101000011110110…
…1001011110111010100
3211101112011000212212112
43122013231023313110
512314122440100340
6255331534010152
722630550452316
oct3320755136724
9741464025775
10234205003220
1190364689401
1239482946958
1319115922356
14b49aba57b6
15615b31a065
hex3687b4bdd4

234205003220 has 24 divisors (see below), whose sum is σ = 492597820008. Its totient is φ = 93535846400.

The previous prime is 234205003211. The next prime is 234205003229. The reversal of 234205003220 is 22300502432.

It is an interprime number because it is at equal distance from previous prime (234205003211) and next prime (234205003229).

It can be written as a sum of positive squares in 4 ways, for example, as 138993261124 + 95211742096 = 372818^2 + 308564^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234205003229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9121541 + ... + 9147180.

It is an arithmetic number, because the mean of its divisors is an integer number (20524909167).

Almost surely, 2234205003220 is an apocalyptic number.

234205003220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234205003220 is an abundant number, since it is smaller than the sum of its proper divisors (258392816788).

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

234205003220 is a wasteful number, since it uses less digits than its factorization.

234205003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18269371 (or 18269369 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

Adding to 234205003220 its reverse (22300502432), we get a palindrome (256505505652).

The spelling of 234205003220 in words is "two hundred thirty-four billion, two hundred five million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 641 1282 2564 3205 6410 12820 18268721 36537442 73074884 91343605 182687210 365374420 11710250161 23420500322 46841000644 58551250805 117102501610 234205003220