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2313200430 = 234528110163
BaseRepresentation
bin1000100111100000…
…1010001100101110
312222012200202110000
42021320022030232
514214134403210
61021311525130
7111215610402
oct21170121456
95865622400
102313200430
11a878177a2
125468297a6
132ab317668
1417d307102
15d812cac0
hex89e0a32e

2313200430 has 80 divisors (see below), whose sum is σ = 6242688144. Its totient is φ = 614597760.

The previous prime is 2313200401. The next prime is 2313200441. The reversal of 2313200430 is 340023132.

2313200430 is a `hidden beast` number, since 2 + 31 + 3 + 200 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 222529 + ... + 232691.

Almost surely, 22313200430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313200430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121344072).

2313200430 is an abundant number, since it is smaller than the sum of its proper divisors (3929487714).

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

2313200430 is a wasteful number, since it uses less digits than its factorization.

2313200430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10463 (or 10454 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2313200430 is about 48095.7423271541. The cubic root of 2313200430 is about 1322.5266173175.

Adding to 2313200430 its reverse (340023132), we get a palindrome (2653223562).

The spelling of 2313200430 in words is "two billion, three hundred thirteen million, two hundred thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 281 405 562 810 843 1405 1686 2529 2810 4215 5058 7587 8430 10163 12645 15174 20326 22761 25290 30489 37935 45522 50815 60978 75870 91467 101630 113805 152445 182934 227610 274401 304890 457335 548802 823203 914670 1372005 1646406 2744010 2855803 4116015 5711606 8232030 8567409 14279015 17134818 25702227 28558030 42837045 51404454 77106681 85674090 128511135 154213362 231320043 257022270 385533405 462640086 771066810 1156600215 2313200430