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2320133200 = 245271175329
BaseRepresentation
bin1000101001001010…
…0110110001010000
312222200201222102021
42022102212301100
514222423230300
61022120301224
7111331543510
oct21222466120
95880658367
102320133200
11a90722460
12549011814
132ac8a40a8
141801cd840
15d8a4bd1a
hex8a4a6c50

2320133200 has 120 divisors (see below), whose sum is σ = 6949644480. Its totient is φ = 723148800.

The previous prime is 2320133173. The next prime is 2320133219. The reversal of 2320133200 is 23310232.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6865 + ... + 68464.

It is an arithmetic number, because the mean of its divisors is an integer number (57913704).

Almost surely, 22320133200 is an apocalyptic number.

2320133200 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 2320133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474822240).

2320133200 is an abundant number, since it is smaller than the sum of its proper divisors (4629511280).

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

2320133200 is a wasteful number, since it uses less digits than its factorization.

2320133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75365 (or 75354 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2320133200 is about 48167.7610025627. The cubic root of 2320133200 is about 1323.8465243190.

Adding to 2320133200 its reverse (23310232), we get a palindrome (2343443432).

The spelling of 2320133200 in words is "two billion, three hundred twenty million, one hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 140 154 175 176 200 220 275 280 308 350 385 400 440 550 560 616 700 770 880 1100 1232 1400 1540 1925 2200 2800 3080 3850 4400 6160 7700 15400 30800 75329 150658 301316 376645 527303 602632 753290 828619 1054606 1205264 1506580 1657238 1883225 2109212 2636515 3013160 3314476 3766450 4143095 4218424 5273030 5800333 6026320 6628952 7532900 8286190 8436848 10546060 11600666 13182575 13257904 15065800 16572380 20715475 21092120 23201332 26365150 29001665 30131600 33144760 41430950 42184240 46402664 52730300 58003330 66289520 82861900 92805328 105460600 116006660 145008325 165723800 210921200 232013320 290016650 331447600 464026640 580033300 1160066600 2320133200