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221241122032 = 24729645110559
BaseRepresentation
bin1100111000001011111…
…1111001110011110000
3210011001200012111002211
43032002333321303300
512111100211401112
6245345313021504
721661363336330
oct3160277716360
9704050174084
10221241122032
1185911933607
1236a65254894
1317b2ab88738
14a9cb15d0c0
155b4d1500a7
hex3382ff9cf0

221241122032 has 80 divisors (see below), whose sum is σ = 506910412800. Its totient is φ = 91525190400.

The previous prime is 221241121919. The next prime is 221241122051. The reversal of 221241122032 is 230221142122.

It is a junction number, because it is equal to n+sod(n) for n = 221241121994 and 221241122012.

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, 20947569 + ... + 20958127.

It is an arithmetic number, because the mean of its divisors is an integer number (6336380160).

Almost surely, 2221241122032 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 221241122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253455206400).

221241122032 is an abundant number, since it is smaller than the sum of its proper divisors (285669290768).

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

221241122032 is a wasteful number, since it uses less digits than its factorization.

221241122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17054 (or 17048 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 221241122032 its reverse (230221142122), we get a palindrome (451462264154).

The spelling of 221241122032 in words is "two hundred twenty-one billion, two hundred forty-one million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 6451 10559 12902 21118 25804 42236 45157 51608 73913 84472 90314 103216 147826 168944 180628 187079 295652 306211 361256 374158 591304 612422 722512 748316 1182608 1224844 1309553 1496632 2143477 2449688 2619106 2993264 4286954 4899376 5238212 8573908 10476424 17147816 20952848 34295632 68116109 136232218 272464436 476812763 544928872 953625526 1089857744 1907251052 1975367161 3814502104 3950734322 7629004208 7901468644 13827570127 15802937288 27655140254 31605874576 55310280508 110620561016 221241122032