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20221105440 = 253579533257
BaseRepresentation
bin10010110101010001…
…011001010100100000
31221012020120120220010
4102311101121110200
5312403100333230
613142304244520
71314045363114
oct226521312440
957166516803
1020221105440
118637317898
123b04010740
131ba3441563
14d9b7dd744
157d53939b0
hex4b5459520

20221105440 has 96 divisors (see below), whose sum is σ = 64502887680. Its totient is φ = 5324027904.

The previous prime is 20221105417. The next prime is 20221105493. The reversal of 20221105440 is 4450112202.

It is a tau number, because it is divible by the number of its divisors (96).

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, 228709 + ... + 304548.

It is an arithmetic number, because the mean of its divisors is an integer number (671905080).

Almost surely, 220221105440 is an apocalyptic number.

20221105440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221105440 is an abundant number, since it is smaller than the sum of its proper divisors (44281782240).

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

20221105440 is a wasteful number, since it uses less digits than its factorization.

20221105440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533354 (or 533346 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 20221105440 its reverse (4450112202), we get a palindrome (24671217642).

The spelling of 20221105440 in words is "twenty billion, two hundred twenty-one million, one hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 79 80 96 120 158 160 237 240 316 395 474 480 632 790 948 1185 1264 1580 1896 2370 2528 3160 3792 4740 6320 7584 9480 12640 18960 37920 533257 1066514 1599771 2133028 2666285 3199542 4266056 5332570 6399084 7998855 8532112 10665140 12798168 15997710 17064224 21330280 25596336 31995420 42127303 42660560 51192672 63990840 84254606 85321120 126381909 127981680 168509212 210636515 252763818 255963360 337018424 421273030 505527636 631909545 674036848 842546060 1011055272 1263819090 1348073696 1685092120 2022110544 2527638180 3370184240 4044221088 5055276360 6740368480 10110552720 20221105440