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2122412520 = 2335313371693
BaseRepresentation
bin111111010000001…
…0111000111101000
312110220200201122010
41332200113013220
513321314200040
6550334355520
7103411131414
oct17640270750
95426621563
102122412520
1199a056a38
124b295bba0
1327a9373c7
14161c41d44
15c64e2e80
hex7e8171e8

2122412520 has 128 divisors (see below), whose sum is σ = 6596029440. Its totient is φ = 545771520.

The previous prime is 2122412491. The next prime is 2122412569. The reversal of 2122412520 is 252142212.

2122412520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1252794 + ... + 1254486.

It is an arithmetic number, because the mean of its divisors is an integer number (51531480).

Almost surely, 22122412520 is an apocalyptic number.

2122412520 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 2122412520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298014720).

2122412520 is an abundant number, since it is smaller than the sum of its proper divisors (4473616920).

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

2122412520 is a wasteful number, since it uses less digits than its factorization.

2122412520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2122412520 is about 46069.6485769102. The cubic root of 2122412520 is about 1285.1187685143.

Adding to 2122412520 its reverse (252142212), we get a palindrome (2374554732).

The spelling of 2122412520 in words is "two billion, one hundred twenty-two million, four hundred twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 337 372 465 620 674 744 930 1011 1240 1348 1685 1693 1860 2022 2696 3370 3386 3720 4044 5055 5079 6740 6772 8088 8465 10110 10158 10447 13480 13544 16930 20220 20316 20894 25395 31341 33860 40440 40632 41788 50790 52235 52483 62682 67720 83576 101580 104470 104966 125364 156705 157449 203160 208940 209932 250728 262415 313410 314898 417880 419864 524830 570541 626820 629796 787245 1049660 1141082 1253640 1259592 1574490 1711623 2099320 2282164 2852705 3148980 3423246 4564328 5705410 6297960 6846492 8558115 11410820 13692984 17116230 17686771 22821640 34232460 35373542 53060313 68464920 70747084 88433855 106120626 141494168 176867710 212241252 265301565 353735420 424482504 530603130 707470840 1061206260 2122412520