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22540433520 = 24351122513793
BaseRepresentation
bin10100111111100000…
…111011100001110000
32011011212210122220010
4110333200323201300
5332130322333040
614204355414520
71425400344423
oct247740734160
964155718803
1022540433520
11961753a360
1244508b4440
132182ac3037
14113b85d9ba
158bdcd1e80
hex53f83b870

22540433520 has 160 divisors (see below), whose sum is σ = 76281617664. Its totient is φ = 5460480000.

The previous prime is 22540433423. The next prime is 22540433537. The reversal of 22540433520 is 2533404522.

It is a super-2 number, since 2×225404335202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5940744 + ... + 5944536.

Almost surely, 222540433520 is an apocalyptic number.

22540433520 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 22540433520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38140808832).

22540433520 is an abundant number, since it is smaller than the sum of its proper divisors (53741184144).

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

22540433520 is a wasteful number, since it uses less digits than its factorization.

22540433520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6071 (or 6065 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 22540433520 in words is "twenty-two billion, five hundred forty million, four hundred thirty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2251 2640 3793 4502 6753 7586 9004 11255 11379 13506 15172 18008 18965 22510 22758 24761 27012 30344 33765 36016 37930 41723 45020 45516 49522 54024 56895 60688 67530 74283 75860 83446 90040 91032 99044 108048 113790 123805 125169 135060 148566 151720 166892 180080 182064 198088 208615 227580 247610 250338 270120 297132 303440 333784 371415 396176 417230 455160 495220 500676 540240 594264 625845 667568 742830 834460 910320 990440 1001352 1188528 1251690 1485660 1668920 1980880 2002704 2503380 2971320 3337840 5006760 5942640 8538043 10013520 17076086 25614129 34152172 42690215 51228258 68304344 85380430 93918473 102456516 128070645 136608688 170760860 187836946 204913032 256141290 281755419 341521720 375673892 409826064 469592365 512282580 563510838 683043440 751347784 939184730 1024565160 1127021676 1408777095 1502695568 1878369460 2049130320 2254043352 2817554190 3756738920 4508086704 5635108380 7513477840 11270216760 22540433520