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2213516420 = 225773143177
BaseRepresentation
bin1000001111101111…
…1001010010000100
312201021010021200122
42003323321102010
514013130011140
61003351201112
7105565402433
oct20373712204
95637107618
102213516420
11a36521715
12519376198
1329378493b
1416dd9911a
15ce4dbab5
hex83ef9484

2213516420 has 24 divisors (see below), whose sum is σ = 4654430424. Its totient is φ = 884254976.

The previous prime is 2213516411. The next prime is 2213516441. The reversal of 2213516420 is 246153122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2116 + 2213514304 = 46^2 + 47048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2213516420.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56129 + ... + 87048.

It is an arithmetic number, because the mean of its divisors is an integer number (193934601).

Almost surely, 22213516420 is an apocalyptic number.

2213516420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213516420 is an abundant number, since it is smaller than the sum of its proper divisors (2440914004).

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

2213516420 is a wasteful number, since it uses less digits than its factorization.

2213516420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143959 (or 143957 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2213516420 is about 47048.0224876668. The cubic root of 2213516420 is about 1303.2495470253.

Adding to 2213516420 its reverse (246153122), we get a palindrome (2459669542).

The spelling of 2213516420 in words is "two billion, two hundred thirteen million, five hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 773 1546 3092 3865 7730 15460 143177 286354 572708 715885 1431770 2863540 110675821 221351642 442703284 553379105 1106758210 2213516420