Search a number
-
+
172122093 = 321113177867
BaseRepresentation
bin10100100001001…
…01111111101101
3102222212201010100
422100211333231
5323030401333
625025101313
74160004453
oct1220457755
9388781110
10172122093
1189181970
1249787839
13298761c0
1418c069d3
151019e213
hexa425fed

172122093 has 48 divisors (see below), whose sum is σ = 309306816. Its totient is φ = 90616320.

The previous prime is 172122091. The next prime is 172122103. The reversal of 172122093 is 390221271.

It is not a de Polignac number, because 172122093 - 21 = 172122091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172122091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17946 + ... + 25812.

It is an arithmetic number, because the mean of its divisors is an integer number (6443892).

Almost surely, 2172122093 is an apocalyptic number.

172122093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

172122093 is a deficient number, since it is larger than the sum of its proper divisors (137184723).

172122093 is a wasteful number, since it uses less digits than its factorization.

172122093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7914 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 172122093 is about 13119.5309748481. The cubic root of 172122093 is about 556.2613338094.

It can be divided in two parts, 172 and 122093, that added together give a triangular number (122265 = T494).

The spelling of 172122093 in words is "one hundred seventy-two million, one hundred twenty-two thousand, ninety-three".

Divisors: 1 3 9 11 13 17 33 39 51 99 117 143 153 187 221 429 561 663 1287 1683 1989 2431 7293 7867 21879 23601 70803 86537 102271 133739 259611 306813 401217 778833 920439 1124981 1203651 1471129 1738607 3374943 4413387 5215821 10124829 13240161 15647463 19124677 57374031 172122093