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22485570048 = 2932474
BaseRepresentation
bin10100111100001111…
…101001001000000000
32011001001120022100200
4110330033221020000
5332022301220143
614155115445200
71424133122544
oct247417511000
964031508320
1022485570048
119599577647
124436456800
132174624046
14113445ba24
158b90961d3
hex53c3e9200

22485570048 has 150 divisors (see below), whose sum is σ = 66305635539. Its totient is φ = 7335717888.

The previous prime is 22485570043. The next prime is 22485570071. The reversal of 22485570048 is 84007558422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11242785024 + 11242785024 = 106032^2 + 106032^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106032.

It is a junction number, because it is equal to n+sod(n) for n = 22485569985 and 22485570012.

It is not an unprimeable number, because it can be changed into a prime (22485570043) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 478416361 + ... + 478416407.

Almost surely, 222485570048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22485570048

22485570048 is an abundant number, since it is smaller than the sum of its proper divisors (43820065491).

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

22485570048 is an frugal number, since it uses more digits than its factorization.

22485570048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 22485570048 in words is "twenty-two billion, four hundred eighty-five million, five hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 512 564 576 752 768 846 1128 1152 1504 1536 1692 2209 2256 2304 3008 3384 4418 4512 4608 6016 6627 6768 8836 9024 12032 13254 13536 17672 18048 19881 24064 26508 27072 35344 36096 39762 53016 54144 70688 72192 79524 103823 106032 108288 141376 159048 207646 212064 216576 282752 311469 318096 415292 424128 565504 622938 636192 830584 848256 934407 1131008 1245876 1272384 1661168 1696512 1868814 2491752 2544768 3322336 3393024 3737628 4879681 4983504 5089536 6644672 7475256 9759362 9967008 10179072 13289344 14639043 14950512 19518724 19934016 26578688 29278086 29901024 39037448 39868032 43917129 53157376 58556172 59802048 78074896 79736064 87834258 117112344 119604096 156149792 159472128 175668516 234224688 239208192 312299584 351337032 468449376 478416384 624599168 702674064 936898752 1249198336 1405348128 1873797504 2498396672 2810696256 3747595008 5621392512 7495190016 11242785024 22485570048