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2212001120 = 25572282143
BaseRepresentation
bin1000001111011000…
…0111010101100000
312201011021022002102
42003312013111200
514012233013440
61003254505532
7105546461600
oct20366072540
95634238072
102212001120
11a356871aa
125189652a8
13293374004
1416dac2c00
15ce2dcb15
hex83d87560

2212001120 has 72 divisors (see below), whose sum is σ = 6079074624. Its totient is φ = 758397696.

The previous prime is 2212001119. The next prime is 2212001123. The reversal of 2212001120 is 211002122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212001123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133232 + ... + 148911.

It is an arithmetic number, because the mean of its divisors is an integer number (84431592).

Almost surely, 22212001120 is an apocalyptic number.

2212001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212001120 is an abundant number, since it is smaller than the sum of its proper divisors (3867073504).

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

2212001120 is a wasteful number, since it uses less digits than its factorization.

2212001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282172 (or 282157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2212001120 is about 47031.9159720290. The cubic root of 2212001120 is about 1302.9520919861.

Adding to 2212001120 its reverse (211002122), we get a palindrome (2423003242).

The spelling of 2212001120 in words is "two billion, two hundred twelve million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 282143 564286 1128572 1410715 1975001 2257144 2821430 3950002 4514288 5642860 7900004 9028576 9875005 11285720 13825007 15800008 19750010 22571440 27650014 31600016 39500020 45142880 55300028 63200032 69125035 79000040 110600056 138250070 158000080 221200112 276500140 316000160 442400224 553000280 1106000560 2212001120