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22852470240 = 2532525516221
BaseRepresentation
bin10101010010000111…
…010000010111100000
32011222121221202210200
4111102013100113200
5333300213021430
614255343425200
71436206535445
oct252207202740
964877852720
1022852470240
119767695146
1245192b5200
132202646752
14116b0879cc
158db3bc460
hex5521d05e0

22852470240 has 144 divisors (see below), whose sum is σ = 78027165216. Its totient is φ = 6090624000.

The previous prime is 22852470233. The next prime is 22852470241. The reversal of 22852470240 is 4207425822.

22852470240 is a `hidden beast` number, since 2 + 28 + 524 + 70 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×228524702403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22852470195 and 22852470204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22852470241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3670330 + ... + 3676550.

It is an arithmetic number, because the mean of its divisors is an integer number (541855314).

Almost surely, 222852470240 is an apocalyptic number.

22852470240 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 22852470240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39013582608).

22852470240 is an abundant number, since it is smaller than the sum of its proper divisors (55174694976).

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

22852470240 is a wasteful number, since it uses less digits than its factorization.

22852470240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8793 (or 8782 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 22852470240 in words is "twenty-two billion, eight hundred fifty-two million, four hundred seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2551 5102 6221 7653 10204 12442 12755 15306 18663 20408 22959 24884 25510 30612 31105 37326 38265 40816 45918 49768 51020 55989 61224 62210 74652 76530 81632 91836 93315 99536 102040 111978 114795 122448 124420 149304 153060 183672 186630 199072 204080 223956 229590 244896 248840 279945 298608 306120 367344 373260 408160 447912 459180 497680 559890 597216 612240 734688 746520 895824 918360 995360 1119780 1224480 1493040 1791648 1836720 2239560 2986080 3673440 4479120 8958240 15869771 31739542 47609313 63479084 79348855 95218626 126958168 142827939 158697710 190437252 238046565 253916336 285655878 317395420 380874504 476093130 507832672 571311756 634790840 714139695 761749008 952186260 1142623512 1269581680 1428279390 1523498016 1904372520 2285247024 2539163360 2856558780 3808745040 4570494048 5713117560 7617490080 11426235120 22852470240