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221055840 = 25325153511
BaseRepresentation
bin11010010110100…
…00101101100000
3120101221210121100
431023100231200
5423042241330
633533554400
75322641445
oct1513205540
9511853540
10221055840
11103864585
1262045a00
1336a4a195
14215039cc
1514618060
hexd2d0b60

221055840 has 72 divisors (see below), whose sum is σ = 754357968. Its totient is φ = 58947840.

The previous prime is 221055833. The next prime is 221055841. The reversal of 221055840 is 48550122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221055841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75316 + ... + 78195.

It is an arithmetic number, because the mean of its divisors is an integer number (10477194).

Almost surely, 2221055840 is an apocalyptic number.

221055840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221055840 is an abundant number, since it is smaller than the sum of its proper divisors (533302128).

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

221055840 is a wasteful number, since it uses less digits than its factorization.

221055840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153532 (or 153521 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 221055840 is about 14867.9467311394. The cubic root of 221055840 is about 604.6452762016.

The spelling of 221055840 in words is "two hundred twenty-one million, fifty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 153511 307022 460533 614044 767555 921066 1228088 1381599 1535110 1842132 2302665 2456176 2763198 3070220 3684264 4605330 4912352 5526396 6140440 6907995 7368528 9210660 11052792 12280880 13815990 14737056 18421320 22105584 24561760 27631980 36842640 44211168 55263960 73685280 110527920 221055840