Search a number
-
+
73229616 = 2433179947
BaseRepresentation
bin1000101110101…
…10010100110000
312002210110011000
410113112110300
5122221321431
611133322000
71546304265
oct427262460
9162713130
1073229616
1138377549
1220636300
131222c845
149a2326c
1566679e6
hex45d6530

73229616 has 80 divisors (see below), whose sum is σ = 211593600. Its totient is φ = 24247872.

The previous prime is 73229609. The next prime is 73229617. The reversal of 73229616 is 61692237.

73229616 is a `hidden beast` number, since 7 + 32 + 2 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (73229617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76855 + ... + 77801.

It is an arithmetic number, because the mean of its divisors is an integer number (2644920).

Almost surely, 273229616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73229616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105796800).

73229616 is an abundant number, since it is smaller than the sum of its proper divisors (138363984).

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

73229616 is a wasteful number, since it uses less digits than its factorization.

73229616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1131 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 73229616 is about 8557.4304554580. The cubic root of 73229616 is about 418.3716542234.

The spelling of 73229616 in words is "seventy-three million, two hundred twenty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 179 216 358 432 537 716 947 1074 1432 1611 1894 2148 2841 2864 3222 3788 4296 4833 5682 6444 7576 8523 8592 9666 11364 12888 15152 17046 19332 22728 25569 25776 34092 38664 45456 51138 68184 77328 102276 136368 169513 204552 339026 409104 508539 678052 1017078 1356104 1525617 2034156 2712208 3051234 4068312 4576851 6102468 8136624 9153702 12204936 18307404 24409872 36614808 73229616