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73222240 = 25571347107
BaseRepresentation
bin1000101110101…
…00100001100000
312002210002000211
410113110201200
5122221102430
611133223504
71546243630
oct427244140
9162702024
1073222240
1138371a53
1220631b94
1312229390
149a206c0
15666572a
hex45d4860

73222240 has 192 divisors, whose sum is σ = 219469824. Its totient is φ = 22468608.

The previous prime is 73222211. The next prime is 73222243. The reversal of 73222240 is 4222237.

It is a super-2 number, since 2×732222402 = 10722992861235200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73222243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684267 + ... + 684373.

It is an arithmetic number, because the mean of its divisors is an integer number (1143072).

Almost surely, 273222240 is an apocalyptic number.

73222240 is a gapful number since it is divisible by the number (70) 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 73222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109734912).

73222240 is an abundant number, since it is smaller than the sum of its proper divisors (146247584).

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

73222240 is a wasteful number, since it uses less digits than its factorization.

73222240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 73222240 is about 8556.9994741147. Note that the first 3 decimals coincide. The cubic root of 73222240 is about 418.3576070245.

Adding to 73222240 its reverse (4222237), we get a palindrome (77444477).

The spelling of 73222240 in words is "seventy-three million, two hundred twenty-two thousand, two hundred forty".