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2215423200 = 253527611213
BaseRepresentation
bin1000010000001100…
…1010110011100000
312201101201011022010
42010003022303200
514014122020300
61003500112520
7105620533524
oct20403126340
95641634263
102215423200
11a37604271
12519b35740
13293ca1803
14170333d84
15ce766a50
hex840cace0

2215423200 has 144 divisors (see below), whose sum is σ = 7226631216. Its totient is φ = 589516800.

The previous prime is 2215423163. The next prime is 2215423207. The reversal of 2215423200 is 23245122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2215423207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1825794 + ... + 1827006.

It is an arithmetic number, because the mean of its divisors is an integer number (50184939).

Almost surely, 22215423200 is an apocalyptic number.

2215423200 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 2215423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613315608).

2215423200 is an abundant number, since it is smaller than the sum of its proper divisors (5011208016).

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

2215423200 is a wasteful number, since it uses less digits than its factorization.

2215423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2215423200 is about 47068.2823141019. The cubic root of 2215423200 is about 1303.6236571877.

Adding to 2215423200 its reverse (23245122), we get a palindrome (2238668322).

It can be divided in two parts, 22154 and 23200, that added together give a palindrome (45354).

The spelling of 2215423200 in words is "two billion, two hundred fifteen million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 761 800 1200 1213 1522 2283 2400 2426 3044 3639 3805 4566 4852 6065 6088 7278 7610 9132 9704 11415 12130 12176 14556 15220 18195 18264 19025 19408 22830 24260 24352 29112 30325 30440 36390 36528 38050 38816 45660 48520 57075 58224 60650 60880 72780 73056 76100 90975 91320 97040 114150 116448 121300 121760 145560 152200 181950 182640 194080 228300 242600 291120 304400 363900 365280 456600 485200 582240 608800 727800 913200 923093 970400 1455600 1826400 1846186 2769279 2911200 3692372 4615465 5538558 7384744 9230930 11077116 13846395 14769488 18461860 22154232 23077325 27692790 29538976 36923720 44308464 46154650 55385580 69231975 73847440 88616928 92309300 110771160 138463950 147694880 184618600 221542320 276927900 369237200 443084640 553855800 738474400 1107711600 2215423200