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2320232100 = 2235228327329
BaseRepresentation
bin1000101001001011…
…1110111010100100
312222200221000002020
42022102332322210
514222434411400
61022122343140
7111332435034
oct21222767244
95880830066
102320232100
11a9078a79a
1254905aab0
132ac90a104
141802178c4
15d8a6b2a0
hex8a4beea4

2320232100 has 72 divisors (see below), whose sum is σ = 6737172960. Its totient is φ = 616519680.

The previous prime is 2320232071. The next prime is 2320232113. The reversal of 2320232100 is 12320232.

2320232100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2320232100.

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, 71236 + ... + 98564.

Almost surely, 22320232100 is an apocalyptic number.

2320232100 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 2320232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368586480).

2320232100 is an abundant number, since it is smaller than the sum of its proper divisors (4416940860).

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

2320232100 is a wasteful number, since it uses less digits than its factorization.

2320232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27629 (or 27622 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2320232100 is about 48168.7876118966. The cubic root of 2320232100 is about 1323.8653345266.

Adding to 2320232100 its reverse (12320232), we get a palindrome (2332552332).

The spelling of 2320232100 in words is "two billion, three hundred twenty million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 283 300 566 849 1132 1415 1698 2830 3396 4245 5660 7075 8490 14150 16980 21225 27329 28300 42450 54658 81987 84900 109316 136645 163974 273290 327948 409935 546580 683225 819870 1366450 1639740 2049675 2732900 4099350 7734107 8198700 15468214 23202321 30936428 38670535 46404642 77341070 92809284 116011605 154682140 193352675 232023210 386705350 464046420 580058025 773410700 1160116050 2320232100