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2212401400 = 2352111005637
BaseRepresentation
bin1000001111011110…
…1001000011111000
312201012000122011121
42003313221003320
514012333321100
61003311235024
7105553046566
oct20367510370
95635018147
102212401400
11a3592aa10
12518b18a74
13293484271
1416db88a36
15ce36b51a
hex83de90f8

2212401400 has 48 divisors (see below), whose sum is σ = 5611460040. Its totient is φ = 804508800.

The previous prime is 2212401379. The next prime is 2212401407. The reversal of 2212401400 is 41042122.

2212401400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212401407) 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, 500619 + ... + 505018.

Almost surely, 22212401400 is an apocalyptic number.

2212401400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212401400 is an abundant number, since it is smaller than the sum of its proper divisors (3399058640).

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

2212401400 is a wasteful number, since it uses less digits than its factorization.

2212401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005664 (or 1005655 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2212401400 is about 47036.1711877147. The cubic root of 2212401400 is about 1303.0306805851.

Adding to 2212401400 its reverse (41042122), we get a palindrome (2253443522).

The spelling of 2212401400 in words is "two billion, two hundred twelve million, four hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 1005637 2011274 4022548 5028185 8045096 10056370 11062007 20112740 22124014 25140925 40225480 44248028 50281850 55310035 88496056 100563700 110620070 201127400 221240140 276550175 442480280 553100350 1106200700 2212401400