Search a number
-
+
2169372408 = 233797239557
BaseRepresentation
bin1000000101001101…
…1111111011111000
312121012001112111020
42001103133323320
513420324404113
6555133102440
7104521234620
oct20123377370
95535045436
102169372408
11a13610665
12506627a20
13287599b18
14168187880
15ca6bc023
hex814dfef8

2169372408 has 128 divisors (see below), whose sum is σ = 6299596800. Its totient is φ = 609767424.

The previous prime is 2169372407. The next prime is 2169372409. The reversal of 2169372408 is 8042739612.

It is an interprime number because it is at equal distance from previous prime (2169372407) and next prime (2169372409).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2169372408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2169372407) 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, 3894466 + ... + 3895022.

It is an arithmetic number, because the mean of its divisors is an integer number (49215600).

Almost surely, 22169372408 is an apocalyptic number.

2169372408 is a gapful number since it is divisible by the number (28) 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 2169372408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149798400).

2169372408 is an abundant number, since it is smaller than the sum of its proper divisors (4130224392).

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

2169372408 is a wasteful number, since it uses less digits than its factorization.

2169372408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2169372408 is about 46576.5220685272. The cubic root of 2169372408 is about 1294.5277682681.

The spelling of 2169372408 in words is "two billion, one hundred sixty-nine million, three hundred seventy-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 168 194 239 291 388 478 557 582 679 717 776 956 1114 1164 1358 1434 1671 1673 1912 2037 2228 2328 2716 2868 3342 3346 3899 4074 4456 5019 5432 5736 6684 6692 7798 8148 10038 11697 13368 13384 15596 16296 20076 23183 23394 31192 40152 46366 46788 54029 69549 92732 93576 108058 133123 139098 162087 162281 185464 216116 266246 278196 324174 324562 378203 399369 432232 486843 532492 556392 648348 649124 756406 798738 931861 973686 1064984 1134609 1296696 1298248 1512812 1597476 1863722 1947372 2269218 2795583 3025624 3194952 3727444 3894744 4538436 5591166 7454888 9076872 11182332 12912931 22364664 25825862 38738793 51651724 77477586 90390517 103303448 154955172 180781034 271171551 309910344 361562068 542343102 723124136 1084686204 2169372408