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2220004000 = 25534312907
BaseRepresentation
bin1000010001010010…
…1001001010100000
312201201022212222101
42010110221022200
514021310112000
61004142220144
7106004502604
oct20424511240
95651285871
102220004000
11a3a152955
1251b584654
13294c16846
14170ba7504
15ced6de6a
hex845292a0

2220004000 has 96 divisors (see below), whose sum is σ = 5581832256. Its totient is φ = 867283200.

The previous prime is 2220003991. The next prime is 2220004051. The reversal of 2220004000 is 4000222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165547 + ... + 178453.

It is an arithmetic number, because the mean of its divisors is an integer number (58144086).

Almost surely, 22220004000 is an apocalyptic number.

2220004000 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 2220004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790916128).

2220004000 is an abundant number, since it is smaller than the sum of its proper divisors (3361828256).

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

2220004000 is a wasteful number, since it uses less digits than its factorization.

2220004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12975 (or 12957 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2220004000 is about 47116.9184051759. The cubic root of 2220004000 is about 1304.5215335159.

Adding to 2220004000 its reverse (4000222), we get a palindrome (2224004222).

The spelling of 2220004000 in words is "two billion, two hundred twenty million, four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 688 800 860 1000 1075 1376 1720 2000 2150 3440 4000 4300 5375 6880 8600 10750 12907 17200 21500 25814 34400 43000 51628 64535 86000 103256 129070 172000 206512 258140 322675 413024 516280 555001 645350 1032560 1110002 1290700 1613375 2065120 2220004 2581400 2775005 3226750 4440008 5162800 5550010 6453500 8880016 10325600 11100020 12907000 13875025 17760032 22200040 25814000 27750050 44400080 51628000 55500100 69375125 88800160 111000200 138750250 222000400 277500500 444000800 555001000 1110002000 2220004000