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221241221344 = 251113401120569
BaseRepresentation
bin1100111000001100000…
…0010010000011100000
3210011001200101112100001
43032003000102003200
512111100223040334
6245345315105344
721661364232013
oct3160300220340
9704050345301
10221241221344
11859119a1190
1236a652a2254
1317b2abc19c0
14a9cb18737a
155b4d16e714
hex33830120e0

221241221344 has 96 divisors (see below), whose sum is σ = 512997377760. Its totient is φ = 92596224000.

The previous prime is 221241221339. The next prime is 221241221401. The reversal of 221241221344 is 443122142122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1774692 + ... + 1895260.

It is an arithmetic number, because the mean of its divisors is an integer number (5343722685).

Almost surely, 2221241221344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221241221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256498688880).

221241221344 is an abundant number, since it is smaller than the sum of its proper divisors (291756156416).

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

221241221344 is a wasteful number, since it uses less digits than its factorization.

221241221344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121004 (or 120996 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

Adding to 221241221344 its reverse (443122142122), we get a palindrome (664363363466).

The spelling of 221241221344 in words is "two hundred twenty-one billion, two hundred forty-one million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 401 416 572 802 1144 1604 2288 3208 4411 4576 5213 6416 8822 10426 12832 17644 20852 35288 41704 57343 70576 83408 114686 120569 141152 166816 229372 241138 458744 482276 917488 964552 1326259 1567397 1834976 1929104 2652518 3134794 3858208 5305036 6269588 10610072 12539176 17241367 21220144 25078352 34482734 42440288 48348169 50156704 68965468 96696338 137930936 193392676 275861872 386785352 531829859 551723744 628526197 773570704 1063659718 1257052394 1547141408 2127319436 2514104788 4254638872 5028209576 6913788167 8509277744 10056419152 13827576334 17018555488 20112838304 27655152668 55310305336 110620610672 221241221344