Search a number
-
+
172215450 = 233521111597
BaseRepresentation
bin10100100001111…
…00110010011010
3110000001110012000
422100330302122
5323041343300
625031101430
74160543601
oct1220746232
9400043160
10172215450
1189236020
1249811876
13298a9844
1418c2ca38
15101bbc00
hexa43cc9a

172215450 has 96 divisors (see below), whose sum is σ = 517734720. Its totient is φ = 41745600.

The previous prime is 172215437. The next prime is 172215451. The reversal of 172215450 is 54512271.

It is a super-2 number, since 2×1722154502 = 59316322437405000, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (172215451) 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, 9052 + ... + 20648.

It is an arithmetic number, because the mean of its divisors is an integer number (5393070).

Almost surely, 2172215450 is an apocalyptic number.

172215450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 172215450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258867360).

172215450 is an abundant number, since it is smaller than the sum of its proper divisors (345519270).

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

172215450 is a wasteful number, since it uses less digits than its factorization.

172215450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11629 (or 11618 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 172215450 is about 13123.0884322251. The cubic root of 172215450 is about 556.3618855018.

The spelling of 172215450 in words is "one hundred seventy-two million, two hundred fifteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 135 150 165 198 225 270 275 297 330 450 495 550 594 675 825 990 1350 1485 1650 2475 2970 4950 7425 11597 14850 23194 34791 57985 69582 104373 115970 127567 173955 208746 255134 289925 313119 347910 382701 521865 579850 626238 637835 765402 869775 1043730 1148103 1275670 1565595 1739550 1913505 2296206 2609325 3131190 3189175 3444309 3827010 5218650 5740515 6378350 6888618 7827975 9567525 11481030 15655950 17221545 19135050 28702575 34443090 57405150 86107725 172215450