Search a number
-
+
2122131480 = 233576433929
BaseRepresentation
bin111111001111101…
…0010100000011000
312110220011110010020
41332133102200120
513321231201410
6550324350440
7103405551150
oct17637224030
95426143106
102122131480
11999984877
124b2845420
1327a869501
14161bab760
15c6489a70
hex7e7d2818

2122131480 has 128 divisors (see below), whose sum is σ = 7289049600. Its totient is φ = 484180992.

The previous prime is 2122131439. The next prime is 2122131481. The reversal of 2122131480 is 841312212.

2122131480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2122131480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122131481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538156 + ... + 542084.

It is an arithmetic number, because the mean of its divisors is an integer number (56945700).

Almost surely, 22122131480 is an apocalyptic number.

2122131480 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 2122131480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644524800).

2122131480 is an abundant number, since it is smaller than the sum of its proper divisors (5166918120).

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

2122131480 is a wasteful number, since it uses less digits than its factorization.

2122131480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4593 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2122131480 is about 46066.5983115749. The cubic root of 2122131480 is about 1285.0620428592.

Adding to 2122131480 its reverse (841312212), we get a palindrome (2963443692).

The spelling of 2122131480 in words is "two billion, one hundred twenty-two million, one hundred thirty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 643 840 1286 1929 2572 3215 3858 3929 4501 5144 6430 7716 7858 9002 9645 11787 12860 13503 15432 15716 18004 19290 19645 22505 23574 25720 27006 27503 31432 36008 38580 39290 45010 47148 54012 55006 58935 67515 77160 78580 82509 90020 94296 108024 110012 117870 135030 137515 157160 165018 180040 220024 235740 270060 275030 330036 412545 471480 540120 550060 660072 825090 1100120 1650180 2526347 3300360 5052694 7579041 10105388 12631735 15158082 17684429 20210776 25263470 30316164 35368858 37895205 50526940 53053287 60632328 70737716 75790410 88422145 101053880 106106574 141475432 151580820 176844290 212213148 265266435 303161640 353688580 424426296 530532870 707377160 1061065740 2122131480