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172044012 = 223717219373
BaseRepresentation
bin10100100000100…
…10111011101100
3102222201202000110
422100102323230
5323020402022
625023300020
74156231020
oct1220227354
9388652013
10172044012
1189129238
124974a610
13298497ba
1418bc6380
151018600c
hexa412eec

172044012 has 144 divisors (see below), whose sum is σ = 514384640. Its totient is φ = 43711488.

The previous prime is 172044011. The next prime is 172044073. The reversal of 172044012 is 210440271.

It is a happy number.

It is a super-2 number, since 2×1720440122 = 59198284130112288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 172044012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172044011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461058 + ... + 461430.

Almost surely, 2172044012 is an apocalyptic number.

172044012 is a gapful number since it is divisible by the number (12) 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 172044012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257192320).

172044012 is an abundant number, since it is smaller than the sum of its proper divisors (342340628).

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

172044012 is a wasteful number, since it uses less digits than its factorization.

172044012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 172044012 is about 13116.5548830476. The cubic root of 172044012 is about 556.1772074590.

Adding to 172044012 its reverse (210440271), we get a palindrome (382484283).

The spelling of 172044012 in words is "one hundred seventy-two million, forty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 19 21 28 34 38 42 51 57 68 76 84 102 114 119 133 204 228 238 266 289 323 357 373 399 476 532 578 646 714 746 798 867 969 1119 1156 1292 1428 1492 1596 1734 1938 2023 2238 2261 2611 3468 3876 4046 4476 4522 5222 5491 6069 6341 6783 7087 7833 8092 9044 10444 10982 12138 12682 13566 14174 15666 16473 19023 21261 21964 24276 25364 27132 28348 31332 32946 38046 38437 42522 44387 49609 65892 76092 76874 85044 88774 99218 107797 115311 120479 133161 148827 153748 177548 198436 215594 230622 240958 266322 297654 323391 361437 431188 461244 481916 532644 595308 646782 722874 754579 843353 1293564 1445748 1509158 1686706 2048143 2263737 2530059 3018316 3373412 4096286 4527474 5060118 6144429 8192572 9054948 10120236 12288858 14337001 24577716 28674002 43011003 57348004 86022006 172044012