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2122000540 = 2251122742491
BaseRepresentation
bin111111001111011…
…0010100010011100
312110212220210111121
41332132302202130
513321213004130
6550321500324
7103404464332
oct17636624234
95425823447
102122000540
119998a5460
124b27a16a4
1327a821a2a
14161b75b52
15c6460d7a
hex7e7b289c

2122000540 has 48 divisors (see below), whose sum is σ = 4882840704. Its totient is φ = 768219200.

The previous prime is 2122000523. The next prime is 2122000577. The reversal of 2122000540 is 450002212.

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, 28695 + ... + 71185.

It is an arithmetic number, because the mean of its divisors is an integer number (101725848).

Almost surely, 22122000540 is an apocalyptic number.

2122000540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441420352).

2122000540 is an abundant number, since it is smaller than the sum of its proper divisors (2760840164).

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

2122000540 is a wasteful number, since it uses less digits than its factorization.

2122000540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42738 (or 42736 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2122000540 is about 46065.1770863849. The cubic root of 2122000540 is about 1285.0356119671.

Adding to 2122000540 its reverse (450002212), we get a palindrome (2572002752).

The spelling of 2122000540 in words is "two billion, one hundred twenty-two million, five hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 227 454 908 1135 2270 2497 4540 4994 9988 12485 24970 42491 49940 84982 169964 212455 424910 467401 849820 934802 1869604 2337005 4674010 9348020 9645457 19290914 38581828 48227285 96454570 106100027 192909140 212200054 424400108 530500135 1061000270 2122000540