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221539340 = 225111317687
BaseRepresentation
bin11010011010001…
…10110000001100
3120102212100211202
431031012300030
5423203224330
633552205032
75330024201
oct1515066014
9512770752
10221539340
11104064870
1262239778
1336b89289
14215cbca8
15146b1445
hexd346c0c

221539340 has 48 divisors (see below), whose sum is σ = 511467264. Its totient is φ = 79934400.

The previous prime is 221539333. The next prime is 221539343. The reversal of 221539340 is 43935122.

It is not an unprimeable number, because it can be changed into a prime (221539343) 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, 24977 + ... + 32663.

It is an arithmetic number, because the mean of its divisors is an integer number (10655568).

Almost surely, 2221539340 is an apocalyptic number.

221539340 is a gapful number since it is divisible by the number (20) 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 221539340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255733632).

221539340 is an abundant number, since it is smaller than the sum of its proper divisors (289927924).

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

221539340 is a wasteful number, since it uses less digits than its factorization.

221539340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7838 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 221539340 is about 14884.1976606064. The cubic root of 221539340 is about 605.0857879851.

The spelling of 221539340 in words is "two hundred twenty-one million, five hundred thirty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1310 1441 2620 2882 5764 7205 7687 14410 15374 28820 30748 38435 76870 84557 153740 169114 338228 422785 845570 1006997 1691140 2013994 4027988 5034985 10069970 11076967 20139940 22153934 44307868 55384835 110769670 221539340