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72226170 = 23257189127
BaseRepresentation
bin1000100111000…
…01010101111010
312000220110200100
410103201111322
5121442214140
611100020230
71534624632
oct423412572
9160813610
1072226170
1137851655
1220231676
1311c6aba3
1498416c2
15651a530
hex44e157a

72226170 has 96 divisors (see below), whose sum is σ = 194088960. Its totient is φ = 18627840.

The previous prime is 72226157. The next prime is 72226171. The reversal of 72226170 is 7162227.

It is not an unprimeable number, because it can be changed into a prime (72226171) 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, 568647 + ... + 568773.

It is an arithmetic number, because the mean of its divisors is an integer number (2021760).

Almost surely, 272226170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72226170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97044480).

72226170 is an abundant number, since it is smaller than the sum of its proper divisors (121862790).

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

72226170 is a wasteful number, since it uses less digits than its factorization.

72226170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72226170 is about 8498.5981196901. The cubic root of 72226170 is about 416.4519135114.

Adding to 72226170 its reverse (7162227), we get a palindrome (79388397).

The spelling of 72226170 in words is "seventy-two million, two hundred twenty-six thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 89 90 127 142 178 213 254 267 355 381 426 445 534 635 639 710 762 801 890 1065 1143 1270 1278 1335 1602 1905 2130 2286 2670 3195 3810 4005 5715 6319 6390 8010 9017 11303 11430 12638 18034 18957 22606 27051 31595 33909 37914 45085 54102 56515 56871 63190 67818 81153 90170 94785 101727 113030 113742 135255 162306 169545 189570 203454 270510 284355 339090 405765 508635 568710 802513 811530 1017270 1605026 2407539 4012565 4815078 7222617 8025130 12037695 14445234 24075390 36113085 72226170