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234205520 = 24543103661
BaseRepresentation
bin11011111010110…
…11000101010000
3121022200212120112
431331123011100
5434424034040
635123500452
75542466633
oct1575330520
9538625515
10234205520
1111022608a
1266527728
13396a2563
1423167c1a
1515864365
hexdf5b150

234205520 has 80 divisors (see below), whose sum is σ = 563452032. Its totient is φ = 90478080.

The previous prime is 234205519. The next prime is 234205529. The reversal of 234205520 is 25502432.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234205529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353990 + ... + 354650.

Almost surely, 2234205520 is an apocalyptic number.

234205520 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 234205520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281726016).

234205520 is an abundant number, since it is smaller than the sum of its proper divisors (329246512).

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

234205520 is a wasteful number, since it uses less digits than its factorization.

234205520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 234205520 is about 15303.7746977666. The cubic root of 234205520 is about 616.4043699033.

Adding to 234205520 its reverse (25502432), we get a palindrome (259707952).

The spelling of 234205520 in words is "two hundred thirty-four million, two hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 103 172 206 215 344 412 430 515 661 688 824 860 1030 1322 1648 1720 2060 2644 3305 3440 4120 4429 5288 6610 8240 8858 10576 13220 17716 22145 26440 28423 35432 44290 52880 56846 68083 70864 88580 113692 136166 142115 177160 227384 272332 284230 340415 354320 454768 544664 568460 680830 1089328 1136920 1361660 2273840 2723320 2927569 5446640 5855138 11710276 14637845 23420552 29275690 46841104 58551380 117102760 234205520