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172216746 = 233132113167
BaseRepresentation
bin10100100001111…
…01000110101010
3110000001111222000
422100331012222
5323041413441
625031111430
74160550432
oct1220750652
9400044860
10172216746
1189236a99
1249812576
13298aa300
1418c2d2c2
15101bc2b6
hexa43d1aa

172216746 has 96 divisors (see below), whose sum is σ = 420577920. Its totient is φ = 52206336.

The previous prime is 172216739. The next prime is 172216747. The reversal of 172216746 is 647612271.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 172216746.

It is not an unprimeable number, because it can be changed into a prime (172216747) 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, 1031155 + ... + 1031321.

It is an arithmetic number, because the mean of its divisors is an integer number (4381020).

Almost surely, 2172216746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172216746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210288960).

172216746 is an abundant number, since it is smaller than the sum of its proper divisors (248361174).

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

172216746 is a wasteful number, since it uses less digits than its factorization.

172216746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 172216746 is about 13123.1378107524. The cubic root of 172216746 is about 556.3632811242.

The spelling of 172216746 in words is "one hundred seventy-two million, two hundred sixteen thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 113 117 167 169 226 234 334 338 339 351 501 507 678 702 1002 1014 1017 1469 1503 1521 2034 2171 2938 3006 3042 3051 4342 4407 4509 4563 6102 6513 8814 9018 9126 13026 13221 18871 19097 19539 26442 28223 37742 38194 39078 39663 56446 56613 57291 58617 79326 84669 113226 114582 117234 169338 169839 171873 245323 254007 339678 343746 490646 508014 509517 515619 735969 762021 1019034 1031238 1471938 1524042 2207907 3189199 4415814 6378398 6623721 9567597 13247442 19135194 28702791 57405582 86108373 172216746