Search a number
-
+
73445022 = 2337241677
BaseRepresentation
bin1000110000010…
…10111010011110
312010012101122000
410120022322132
5122300220042
611142103130
71551162300
oct430127236
9163171560
1073445022
1138504372
122071aaa6
13122a68c1
149a7b970
1566ab74c
hex460ae9e

73445022 has 96 divisors (see below), whose sum is σ = 194775840. Its totient is φ = 20442240.

The previous prime is 73445017. The next prime is 73445059. The reversal of 73445022 is 22054437.

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

It is a congruent number.

It is an unprimeable number.

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, 108148 + ... + 108824.

It is an arithmetic number, because the mean of its divisors is an integer number (2028915).

Almost surely, 273445022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73445022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97387920).

73445022 is an abundant number, since it is smaller than the sum of its proper divisors (121330818).

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

73445022 is a wasteful number, since it uses less digits than its factorization.

73445022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 73445022 is about 8570.0071178500. The cubic root of 73445022 is about 418.7814681334.

Adding to 73445022 its reverse (22054437), we get a palindrome (95499459).

The spelling of 73445022 in words is "seventy-three million, four hundred forty-five thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 49 54 63 82 98 123 126 147 189 246 287 294 369 378 441 574 677 738 861 882 1107 1323 1354 1722 2009 2031 2214 2583 2646 4018 4062 4739 5166 6027 6093 7749 9478 12054 12186 14217 15498 18081 18279 27757 28434 33173 36162 36558 42651 54243 55514 66346 83271 85302 99519 108486 127953 166542 194299 199038 249813 255906 298557 388598 499626 582897 597114 749439 895671 1165794 1360093 1498878 1748691 1791342 2720186 3497382 4080279 5246073 8160558 10492146 12240837 24481674 36722511 73445022