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2204134000 = 24534312557
BaseRepresentation
bin1000001101100000…
…0110101001110000
312200121110121102121
42003120012221300
514003224242000
61002414124024
7105422554435
oct20330065160
95617417377
102204134000
11a311a3552
125161b0614
1329184b203
1416ca35b8c
15cd786b1a
hex83606a70

2204134000 has 80 divisors (see below), whose sum is σ = 5344050816. Its totient is φ = 879264000.

The previous prime is 2204133989. The next prime is 2204134001. The reversal of 2204134000 is 4314022.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2204134001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860722 + ... + 863278.

Almost surely, 22204134000 is an apocalyptic number.

2204134000 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 2204134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672025408).

2204134000 is an abundant number, since it is smaller than the sum of its proper divisors (3139916816).

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

2204134000 is a wasteful number, since it uses less digits than its factorization.

2204134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2204134000 is about 46948.2055035121. The cubic root of 2204134000 is about 1301.4055803086.

Adding to 2204134000 its reverse (4314022), we get a palindrome (2208448022).

The spelling of 2204134000 in words is "two billion, two hundred four million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 431 500 862 1000 1724 2000 2155 2557 3448 4310 5114 6896 8620 10228 10775 12785 17240 20456 21550 25570 34480 40912 43100 51140 53875 63925 86200 102280 107750 127850 172400 204560 215500 255700 319625 431000 511400 639250 862000 1022800 1102067 1278500 2204134 2557000 4408268 5114000 5510335 8816536 11020670 17633072 22041340 27551675 44082680 55103350 88165360 110206700 137758375 220413400 275516750 440826800 551033500 1102067000 2204134000