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2312285130 = 234529173569
BaseRepresentation
bin1000100111010010…
…1010101111001010
312222010222020220000
42021310222233022
514213421111010
61021240143430
7111205046031
oct21164525712
95863866800
102312285130
11a87252051
12546467b76
132ab086b6c
1417d149718
15d7eeb7c0
hex89d2abca

2312285130 has 160 divisors (see below), whose sum is σ = 6480421200. Its totient is φ = 590865408.

The previous prime is 2312285119. The next prime is 2312285137. The reversal of 2312285130 is 315822132.

2312285130 is a `hidden beast` number, since 23 + 122 + 8 + 513 + 0 = 666.

2312285130 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 8 ways, for example, as 1150634241 + 1161650889 = 33921^2 + 34083^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2312285094 and 2312285103.

It is not an unprimeable number, because it can be changed into a prime (2312285137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4063486 + ... + 4064054.

Almost surely, 22312285130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312285130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240210600).

2312285130 is an abundant number, since it is smaller than the sum of its proper divisors (4168136070).

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

2312285130 is a wasteful number, since it uses less digits than its factorization.

2312285130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2312285130 is about 48086.2259904019. The cubic root of 2312285130 is about 1322.3521594117.

The spelling of 2312285130 in words is "two billion, three hundred twelve million, two hundred eighty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 173 174 261 270 290 346 405 435 519 522 569 783 810 865 870 1038 1138 1305 1557 1566 1707 1730 2349 2595 2610 2845 3114 3414 3915 4671 4698 5017 5121 5190 5690 7785 7830 8535 9342 10034 10242 11745 14013 15051 15363 15570 16501 17070 23355 23490 25085 25605 28026 30102 30726 33002 45153 46089 46710 49503 50170 51210 70065 75255 76815 82505 90306 92178 98437 99006 135459 140130 148509 150510 153630 165010 196874 225765 230445 247515 270918 295311 297018 406377 445527 451530 460890 492185 495030 590622 677295 742545 812754 885933 891054 984370 1336581 1354590 1476555 1485090 1771866 2031885 2227635 2657799 2673162 2854673 2953110 4063770 4429665 4455270 5315598 5709346 6682905 7973397 8564019 8859330 13288995 13365810 14273365 15946794 17128038 25692057 26577990 28546730 39866985 42820095 51384114 77076171 79733970 85640190 128460285 154152342 231228513 256920570 385380855 462457026 770761710 1156142565 2312285130