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2172094896 = 2431719294831
BaseRepresentation
bin1000000101110111…
…1000100110110000
312121101011212001010
42001131320212300
513422024014041
6555311310520
7104553334116
oct20135704660
95541155033
102172094896
11a15100054
1250751b440
1328801106a
14168695ab6
15caa58a16
hex817789b0

2172094896 has 160 divisors (see below), whose sum is σ = 6471014400. Its totient is φ = 623185920.

The previous prime is 2172094891. The next prime is 2172094931. The reversal of 2172094896 is 6984902712.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2172094891) 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, 447201 + ... + 452031.

It is an arithmetic number, because the mean of its divisors is an integer number (40443840).

Almost surely, 22172094896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2172094896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235507200).

2172094896 is an abundant number, since it is smaller than the sum of its proper divisors (4298919504).

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

2172094896 is a wasteful number, since it uses less digits than its factorization.

2172094896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4907 (or 4901 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 2172094896 is about 46605.7388740915. The cubic root of 2172094896 is about 1295.0690712154.

The spelling of 2172094896 in words is "two billion, one hundred seventy-two million, ninety-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 29 34 38 48 51 57 58 68 76 87 102 114 116 136 152 174 204 228 232 272 304 323 348 408 456 464 493 551 646 696 816 912 969 986 1102 1292 1392 1479 1653 1938 1972 2204 2584 2958 3306 3876 3944 4408 4831 5168 5916 6612 7752 7888 8816 9367 9662 11832 13224 14493 15504 18734 19324 23664 26448 28101 28986 37468 38648 56202 57972 74936 77296 82127 91789 112404 115944 140099 149872 164254 183578 224808 231888 246381 275367 280198 328508 367156 420297 449616 492762 550734 560396 657016 734312 840594 985524 1101468 1120792 1314032 1468624 1560413 1681188 1971048 2202936 2241584 2381683 2661881 3120826 3362376 3942096 4405872 4681239 4763366 5323762 6241652 6724752 7145049 7985643 9362478 9526732 10647524 12483304 14290098 15971286 18724956 19053464 21295048 24966608 28580196 31942572 37449912 38106928 42590096 45251977 57160392 63885144 74899824 90503954 114320784 127770288 135755931 181007908 271511862 362015816 543023724 724031632 1086047448 2172094896