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2221413140 = 225236772077
BaseRepresentation
bin1000010001101000…
…0001001100010100
312201210222110221202
42010122001030110
514022140210030
61004232332032
7106022462102
oct20432011424
95653873852
102221413140
11a3aa25631
1251bb44018
132952bb05b
14171052c72
15d004b745
hex84681314

2221413140 has 48 divisors (see below), whose sum is σ = 4940514432. Its totient is φ = 837234816.

The previous prime is 2221413127. The next prime is 2221413179. The reversal of 2221413140 is 413141222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5219 + ... + 66858.

It is an arithmetic number, because the mean of its divisors is an integer number (102927384).

Almost surely, 22221413140 is an apocalyptic number.

2221413140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221413140 is an abundant number, since it is smaller than the sum of its proper divisors (2719101292).

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

2221413140 is a wasteful number, since it uses less digits than its factorization.

2221413140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72176 (or 72174 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2221413140 is about 47131.8696849595. The cubic root of 2221413140 is about 1304.7974886747.

Adding to 2221413140 its reverse (413141222), we get a palindrome (2634554362).

The spelling of 2221413140 in words is "two billion, two hundred twenty-one million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 67 92 115 134 230 268 335 460 670 1340 1541 3082 6164 7705 15410 30820 72077 144154 288308 360385 720770 1441540 1657771 3315542 4829159 6631084 8288855 9658318 16577710 19316636 24145795 33155420 48291590 96583180 111070657 222141314 444282628 555353285 1110706570 2221413140