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22455022240 = 2557225111411
BaseRepresentation
bin10100111010011011…
…000111001010100000
32010221221002022122101
4110322123013022200
5331441441202430
614152105020144
71423312353100
oct247233071240
963857068571
1022455022240
119583302622
124428184654
13216b1b9911
141130389200
158b655edca
hex53a6c72a0

22455022240 has 144 divisors (see below), whose sum is σ = 61962503904. Its totient is φ = 7667520000.

The previous prime is 22455022231. The next prime is 22455022279. The reversal of 22455022240 is 4222055422.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 22455022199 and 22455022208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1962135 + ... + 1973545.

It is an arithmetic number, because the mean of its divisors is an integer number (430295166).

Almost surely, 222455022240 is an apocalyptic number.

22455022240 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 22455022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30981251952).

22455022240 is an abundant number, since it is smaller than the sum of its proper divisors (39507481664).

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

22455022240 is a wasteful number, since it uses less digits than its factorization.

22455022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11691 (or 11676 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

Adding to 22455022240 its reverse (4222055422), we get a palindrome (26677077662).

The spelling of 22455022240 in words is "twenty-two billion, four hundred fifty-five million, twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 251 280 392 490 502 560 784 980 1004 1120 1255 1568 1757 1960 2008 2510 3514 3920 4016 5020 7028 7840 8032 8785 10040 11411 12299 14056 17570 20080 22822 24598 28112 35140 40160 45644 49196 56224 57055 61495 70280 79877 91288 98392 114110 122990 140560 159754 182576 196784 228220 245980 281120 319508 365152 393568 399385 456440 491960 559139 639016 798770 912880 983920 1118278 1278032 1597540 1825760 1967840 2236556 2556064 2795695 2864161 3195080 4473112 5591390 5728322 6390160 8946224 11182780 11456644 12780320 14320805 17892448 20049127 22365560 22913288 28641610 40098254 44731120 45826576 57283220 80196508 89462240 91653152 100245635 114566440 140343889 160393016 200491270 229132880 280687778 320786032 400982540 458265760 561375556 641572064 701719445 801965080 1122751112 1403438890 1603930160 2245502224 2806877780 3207860320 4491004448 5613755560 11227511120 22455022240