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20032211200 = 285218117293
BaseRepresentation
bin10010101010000000…
…110100100100000000
31220201002010202201011
4102222000310210000
5312011221224300
613111435450304
71306262662051
oct225200644400
956632122634
1020032211200
11854a72a851
123a708b6994
131b73275211
14d806ac728
157c39ceeba
hex4aa034900

20032211200 has 108 divisors (see below), whose sum is σ = 49859674228. Its totient is φ = 7968153600.

The previous prime is 20032211183. The next prime is 20032211203. The reversal of 20032211200 is 211223002.

It can be written as a sum of positive squares in 6 ways, for example, as 9755117824 + 10277093376 = 98768^2 + 101376^2 .

It is a super-2 number, since 2×200322112002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20032211203) 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, 1149754 + ... + 1167046.

Almost surely, 220032211200 is an apocalyptic number.

20032211200 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 20032211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24929837114).

20032211200 is an abundant number, since it is smaller than the sum of its proper divisors (29827463028).

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

20032211200 is a wasteful number, since it uses less digits than its factorization.

20032211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17500 (or 17481 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20032211200 its reverse (211223002), we get a palindrome (20243434202).

The spelling of 20032211200 in words is "twenty billion, thirty-two million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 181 200 256 320 362 400 640 724 800 905 1280 1448 1600 1810 2896 3200 3620 4525 5792 6400 7240 9050 11584 14480 17293 18100 23168 28960 34586 36200 46336 57920 69172 72400 86465 115840 138344 144800 172930 231680 276688 289600 345860 432325 553376 579200 691720 864650 1106752 1158400 1383440 1729300 2213504 2766880 3130033 3458600 4427008 5533760 6260066 6917200 11067520 12520132 13834400 15650165 22135040 25040264 27668800 31300330 50080528 55337600 62600660 78250825 100161056 110675200 125201320 156501650 200322112 250402640 313003300 400644224 500805280 626006600 801288448 1001610560 1252013200 2003221120 2504026400 4006442240 5008052800 10016105600 20032211200