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2172992712 = 23311231133167
BaseRepresentation
bin1000000110000101…
…0011110011001000
312121102212110121120
42001201103303020
513422241231322
6555342435240
7104564063502
oct20141236310
95542773546
102172992712
11a15663650
12507892b20
13288266907
1416884ad72
15cab84a5c
hex81853cc8

2172992712 has 128 divisors (see below), whose sum is σ = 6240706560. Its totient is φ = 624081920.

The previous prime is 2172992711. The next prime is 2172992753.

2172992712 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×21729927124 (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2172992711) 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, 684553 + ... + 687719.

It is an arithmetic number, because the mean of its divisors is an integer number (48755520).

Almost surely, 22172992712 is an apocalyptic number.

2172992712 is a gapful number since it is divisible by the number (22) 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 2172992712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120353280).

2172992712 is an abundant number, since it is smaller than the sum of its proper divisors (4067713848).

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

2172992712 is a wasteful number, since it uses less digits than its factorization.

2172992712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323 (or 3319 counting only the distinct ones).

The product of its digits is 63504, while the sum is 42.

The square root of 2172992712 is about 46615.3699116504. The cubic root of 2172992712 is about 1295.2474817091.

The spelling of 2172992712 in words is "two billion, one hundred seventy-two million, nine hundred ninety-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 113 132 138 184 226 253 264 276 339 452 506 552 678 759 904 1012 1243 1356 1518 2024 2486 2599 2712 3036 3167 3729 4972 5198 6072 6334 7458 7797 9501 9944 10396 12668 14916 15594 19002 20792 25336 28589 29832 31188 34837 38004 57178 62376 69674 72841 76008 85767 104511 114356 139348 145682 171534 209022 218523 228712 278696 291364 343068 357871 418044 437046 582728 686136 715742 801251 836088 874092 1073613 1431484 1602502 1748184 2147226 2403753 2862968 3205004 3936581 4294452 4807506 6410008 7873162 8231033 8588904 9615012 11809743 15746324 16462066 19230024 23619486 24693099 31492648 32924132 47238972 49386198 65848264 90541363 94477944 98772396 181082726 197544792 271624089 362165452 543248178 724330904 1086496356 2172992712