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2212333540 = 2251377611061
BaseRepresentation
bin1000001111011101…
…1000011111100100
312201011220012002021
42003313120133210
514012324133130
61003305552524
7105552345004
oct20367303744
95634805067
102212333540
11a35893a2a
12518aa5744
1329345c401
1416db6c004
15ce35637a
hex83dd87e4

2212333540 has 48 divisors (see below), whose sum is σ = 4690378224. Its totient is φ = 876492800.

The previous prime is 2212333511. The next prime is 2212333559. The reversal of 2212333540 is 453332122.

It can be written as a sum of positive squares in 8 ways, for example, as 210308004 + 2002025536 = 14502^2 + 44744^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2084610 + ... + 2085670.

It is an arithmetic number, because the mean of its divisors is an integer number (97716213).

Almost surely, 22212333540 is an apocalyptic number.

2212333540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212333540 is an abundant number, since it is smaller than the sum of its proper divisors (2478044684).

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

2212333540 is a wasteful number, since it uses less digits than its factorization.

2212333540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 2212333540 is about 47035.4498224477. The cubic root of 2212333540 is about 1303.0173580228.

Adding to 2212333540 its reverse (453332122), we get a palindrome (2665665662).

The spelling of 2212333540 in words is "two billion, two hundred twelve million, three hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 137 274 548 685 761 1061 1370 1522 2122 2740 3044 3805 4244 5305 7610 10610 15220 21220 104257 145357 208514 290714 417028 521285 581428 726785 807421 1042570 1453570 1614842 2085140 2907140 3229684 4037105 8074210 16148420 110616677 221233354 442466708 553083385 1106166770 2212333540