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221536740 = 22355962581
BaseRepresentation
bin11010011010001…
…10000111100100
3120102212020021110
431031012013210
5423203133430
633552145020
75330013465
oct1515060744
9512766243
10221536740
11104062917
1262238170
1336b88039
14215cad6c
15146b07b0
hexd3461e4

221536740 has 48 divisors (see below), whose sum is σ = 630826560. Its totient is φ = 58074240.

The previous prime is 221536729. The next prime is 221536801. The reversal of 221536740 is 47635122.

221536740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 221536698 and 221536707.

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 15 ways as a sum of consecutive naturals, for example, 27751 + ... + 34830.

It is an arithmetic number, because the mean of its divisors is an integer number (13142220).

Almost surely, 2221536740 is an apocalyptic number.

221536740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221536740 is an abundant number, since it is smaller than the sum of its proper divisors (409289820).

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

221536740 is a wasteful number, since it uses less digits than its factorization.

221536740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62652 (or 62650 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 221536740 is about 14884.1103193977. The cubic root of 221536740 is about 605.0834208672.

The spelling of 221536740 in words is "two hundred twenty-one million, five hundred thirty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 62581 125162 187743 250324 312905 375486 625810 750972 938715 1251620 1877430 3692279 3754860 7384558 11076837 14769116 18461395 22153674 36922790 44307348 55384185 73845580 110768370 221536740