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20221116640 = 255974572851
BaseRepresentation
bin10010110101010001…
…011100000011100000
31221012020121011020221
4102311101130003200
5312403101213030
613142304412424
71314045440554
oct226521340340
957166534227
1020221116640
11863732524a
123b04017114
131ba344669a
14d9b803864
157d5396e7a
hex4b545c0e0

20221116640 has 96 divisors (see below), whose sum is σ = 48387465504. Its totient is φ = 7984742400.

The previous prime is 20221116631. The next prime is 20221116653. The reversal of 20221116640 is 4661112202.

It is a happy number.

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, 7091215 + ... + 7094065.

It is an arithmetic number, because the mean of its divisors is an integer number (504036099).

Almost surely, 220221116640 is an apocalyptic number.

20221116640 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 20221116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24193732752).

20221116640 is an abundant number, since it is smaller than the sum of its proper divisors (28166348864).

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

20221116640 is a wasteful number, since it uses less digits than its factorization.

20221116640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 20221116640 its reverse (4661112202), we get a palindrome (24882228842).

The spelling of 20221116640 in words is "twenty billion, two hundred twenty-one million, one hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 457 485 776 914 970 1552 1828 1940 2285 2851 3104 3656 3880 4570 5702 7312 7760 9140 11404 14255 14624 15520 18280 22808 28510 36560 44329 45616 57020 73120 88658 91232 114040 177316 221645 228080 276547 354632 443290 456160 553094 709264 886580 1106188 1302907 1382735 1418528 1773160 2212376 2605814 2765470 3546320 4424752 5211628 5530940 6514535 7092640 8849504 10423256 11061880 13029070 20846512 22123760 26058140 41693024 44247520 52116280 104232560 126381979 208465120 252763958 505527916 631909895 1011055832 1263819790 2022111664 2527639580 4044223328 5055279160 10110558320 20221116640