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145226172 = 223713177823
BaseRepresentation
bin10001010011111…
…11100110111100
3101010021020212010
420221333212330
5244134214142
622224411220
73412254630
oct1051774674
9333236763
10145226172
1174a81633
1240776b10
132411a060
1415404dc0
15cb39e9c
hex8a7f9bc

145226172 has 96 divisors (see below), whose sum is σ = 441649152. Its totient is φ = 36043776.

The previous prime is 145226161. The next prime is 145226219. The reversal of 145226172 is 271622541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14653 + ... + 22475.

It is an arithmetic number, because the mean of its divisors is an integer number (4600512).

Almost surely, 2145226172 is an apocalyptic number.

145226172 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 145226172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220824576).

145226172 is an abundant number, since it is smaller than the sum of its proper divisors (296422980).

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

145226172 is a wasteful number, since it uses less digits than its factorization.

145226172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7867 (or 7865 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 145226172 is about 12050.9822006341. The cubic root of 145226172 is about 525.6317981036.

The spelling of 145226172 in words is "one hundred forty-five million, two hundred twenty-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 182 204 221 238 273 357 364 442 476 546 663 714 884 1092 1326 1428 1547 2652 3094 4641 6188 7823 9282 15646 18564 23469 31292 46938 54761 93876 101699 109522 132991 164283 203398 219044 265982 305097 328566 398973 406796 531964 610194 657132 711893 797946 930937 1220388 1423786 1595892 1728883 1861874 2135679 2792811 2847572 3457766 3723748 4271358 5186649 5585622 6915532 8542716 10373298 11171244 12102181 20746596 24204362 36306543 48408724 72613086 145226172