Search a number
-
+
172440333 = 351331719
BaseRepresentation
bin10100100011100…
…11101100001101
3110000110212200000
422101303230031
5323121042313
625035554513
74162501332
oct1221635415
9400425600
10172440333
1189379a7a
12498bba39
1329958000
1418c8a989
1510213673
hexa473b0d

172440333 has 96 divisors (see below), whose sum is σ = 311875200. Its totient is φ = 94618368.

The previous prime is 172440319. The next prime is 172440341. The reversal of 172440333 is 333044271.

172440333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 172440333 - 226 = 105331469 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 172440297 and 172440306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172440343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9075798 + ... + 9075816.

It is an arithmetic number, because the mean of its divisors is an integer number (3248700).

Almost surely, 2172440333 is an apocalyptic number.

172440333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

172440333 is a deficient number, since it is larger than the sum of its proper divisors (139434867).

172440333 is an equidigital number, since it uses as much as digits as its factorization.

172440333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 172440333 is about 13131.6538562361. The cubic root of 172440333 is about 556.6039503290.

The spelling of 172440333 in words is "one hundred seventy-two million, four hundred forty thousand, three hundred thirty-three".

Divisors: 1 3 9 13 17 19 27 39 51 57 81 117 153 169 171 221 243 247 323 351 459 507 513 663 741 969 1053 1377 1521 1539 1989 2197 2223 2873 2907 3159 3211 4131 4199 4563 4617 5967 6591 6669 8619 8721 9633 12597 13689 17901 19773 20007 25857 26163 28899 37349 37791 41067 41743 53703 54587 59319 60021 77571 78489 86697 112047 113373 125229 163761 177957 232713 260091 336141 340119 375687 491283 533871 698139 709631 780273 1008423 1020357 1127061 1473849 2128893 3025269 3381183 4421547 6386679 9075807 10143549 13264641 19160037 57480111 172440333