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2325135360 = 214359461
BaseRepresentation
bin1000101010010110…
…1100000000000000
320000001011010002110
42022211230000000
514230213312420
61022415415320
7111422216202
oct21245540000
96001133073
102325135360
11a93529679
1254a824540
132b0935b52
14180b32772
15d91d8ee0
hex8a96c000

2325135360 has 120 divisors (see below), whose sum is σ = 7440992496. Its totient is φ = 619970560.

The previous prime is 2325135289. The next prime is 2325135361. The reversal of 2325135360 is 635315232.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2325135361) 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, 241030 + ... + 250490.

Almost surely, 22325135360 is an apocalyptic number.

2325135360 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 2325135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720496248).

2325135360 is an abundant number, since it is smaller than the sum of its proper divisors (5115857136).

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

2325135360 is an frugal number, since it uses more digits than its factorization.

2325135360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9497 (or 9471 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 2325135360 is about 48219.6574023499. The cubic root of 2325135360 is about 1324.7972368026.

The spelling of 2325135360 in words is "two billion, three hundred twenty-five million, one hundred thirty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 9461 10240 12288 15360 16384 18922 20480 24576 28383 30720 37844 40960 47305 49152 56766 61440 75688 81920 94610 113532 122880 141915 151376 189220 227064 245760 283830 302752 378440 454128 567660 605504 756880 908256 1135320 1211008 1513760 1816512 2270640 2422016 3027520 3633024 4541280 4844032 6055040 7266048 9082560 9688064 12110080 14532096 18165120 19376128 24220160 29064192 36330240 38752256 48440320 58128384 72660480 77504512 96880640 116256768 145320960 155009024 193761280 232513536 290641920 387522560 465027072 581283840 775045120 1162567680 2325135360