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221441212240 = 24553673172459
BaseRepresentation
bin1100111000111011101…
…1001011111101010000
3210011120121201010021021
43032032323023331100
512112002422242430
6245421221405224
721666343150603
oct3161673137520
9704517633237
10221441212240
1185a04878316
1236b00269814
1317b60474b01
14aa0996633a
155b609c607a
hex338eecbf50

221441212240 has 160 divisors (see below), whose sum is σ = 534290981760. Its totient is φ = 85303375872.

The previous prime is 221441212231. The next prime is 221441212247. The reversal of 221441212240 is 42212144122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221441212247) 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, 90052131 + ... + 90054589.

It is an arithmetic number, because the mean of its divisors is an integer number (3339318636).

Almost surely, 2221441212240 is an apocalyptic number.

221441212240 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 221441212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267145490880).

221441212240 is an abundant number, since it is smaller than the sum of its proper divisors (312849769520).

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

221441212240 is a wasteful number, since it uses less digits than its factorization.

221441212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 221441212240 its reverse (42212144122), we get a palindrome (263653356362).

The spelling of 221441212240 in words is "two hundred twenty-one billion, four hundred forty-one million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 67 80 106 134 212 265 268 317 335 424 530 536 634 670 848 1060 1072 1268 1340 1585 2120 2459 2536 2680 3170 3551 4240 4918 5072 5360 6340 7102 9836 12295 12680 14204 16801 17755 19672 21239 24590 25360 28408 33602 35510 39344 42478 49180 56816 67204 71020 84005 84956 98360 106195 130327 134408 142040 164753 168010 169912 196720 212390 260654 268816 284080 329506 336020 339824 424780 521308 651635 659012 672040 779503 823765 849560 1042616 1125667 1303270 1318024 1344080 1559006 1647530 1699120 2085232 2251334 2606540 2636048 3118012 3295060 3897515 4502668 5213080 5628335 6236024 6590120 7795030 8731909 9005336 10426160 11256670 12472048 13180240 15590060 17463818 18010672 22513340 31180120 34927636 41313659 43659545 45026680 52226701 62360240 69855272 82627318 87319090 90053360 104453402 139710544 165254636 174638180 206568295 208906804 261133505 330509272 349276360 413136590 417813608 522267010 661018544 698552720 826273180 835627216 1044534020 1652546360 2089068040 2768015153 3305092720 4178136080 5536030306 11072060612 13840075765 22144121224 27680151530 44288242448 55360303060 110720606120 221441212240