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2214132540 = 223537997357
BaseRepresentation
bin1000001111111000…
…1111101100111100
312201022021120211220
42003332033230330
514013304220130
61003412313340
7105603546624
oct20376175474
95638246756
102214132540
11a36902604
12519612850
1329393c1c9
141700b9884
15ce5ae410
hex83f8fb3c

2214132540 has 48 divisors (see below), whose sum is σ = 6367133472. Its totient is φ = 574477056.

The previous prime is 2214132539. The next prime is 2214132619. The reversal of 2214132540 is 452314122.

It is a self number, because there is not a number n which added to its sum of digits gives 2214132540.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496459 + ... + 500898.

It is an arithmetic number, because the mean of its divisors is an integer number (132648614).

Almost surely, 22214132540 is an apocalyptic number.

2214132540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214132540 is an abundant number, since it is smaller than the sum of its proper divisors (4153000932).

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

2214132540 is a wasteful number, since it uses less digits than its factorization.

2214132540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997406 (or 997404 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2214132540 is about 47054.5698099558. The cubic root of 2214132540 is about 1303.3704532322.

Adding to 2214132540 its reverse (452314122), we get a palindrome (2666446662).

The spelling of 2214132540 in words is "two billion, two hundred fourteen million, one hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 997357 1994714 2992071 3989428 4986785 5984142 9973570 11968284 14960355 19947140 29920710 36902209 59841420 73804418 110706627 147608836 184511045 221413254 369022090 442826508 553533135 738044180 1107066270 2214132540