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8132225200 = 2452111848233
BaseRepresentation
bin1111001001011011…
…11110100010110000
3202222202012211202221
413210231332202300
5113123322201300
63422541450424
7405344526241
oct74455764260
922882184687
108132225200
1134a347a180
1216ab570a14
139c7a5a698
14572086cc8
15328e1831a
hex1e4b7e8b0

8132225200 has 60 divisors (see below), whose sum is σ = 21313834488. Its totient is φ = 2957171200.

The previous prime is 8132225191. The next prime is 8132225203. The reversal of 8132225200 is 25222318.

It is a super-2 number, since 2×81322252002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (8132225203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 919717 + ... + 928516.

Almost surely, 28132225200 is an apocalyptic number.

8132225200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8132225200 is an abundant number, since it is smaller than the sum of its proper divisors (13181609288).

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

8132225200 is a wasteful number, since it uses less digits than its factorization.

8132225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848262 (or 1848251 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 8132225200 is about 90178.8511791983. The cubic root of 8132225200 is about 2010.9586114152.

Adding to 8132225200 its reverse (25222318), we get a palindrome (8157447518).

It can be divided in two parts, 8132 and 225200, that added together give a palindrome (233332).

The spelling of 8132225200 in words is "eight billion, one hundred thirty-two million, two hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 1848233 3696466 7392932 9241165 14785864 18482330 20330563 29571728 36964660 40661126 46205825 73929320 81322252 92411650 101652815 147858640 162644504 184823300 203305630 325289008 369646600 406611260 508264075 739293200 813222520 1016528150 1626445040 2033056300 4066112600 8132225200