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2204420004 = 2232239192897
BaseRepresentation
bin1000001101100100…
…1100011110100100
312200122000010202100
42003121030132210
514003312420004
61002424212100
7105425155323
oct20331143644
95618003670
102204420004
11a31379416
1251630a030
1329191b447
1416caac0ba
15cd7e1739
hex8364c7a4

2204420004 has 72 divisors (see below), whose sum is σ = 5822893440. Its totient is φ = 701851392.

The previous prime is 2204419993. The next prime is 2204420021. The reversal of 2204420004 is 4000244022.

2204420004 is a `hidden beast` number, since 220 + 442 + 0 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 759484 + ... + 762380.

It is an arithmetic number, because the mean of its divisors is an integer number (80873520).

Almost surely, 22204420004 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 2204420004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911446720).

2204420004 is an abundant number, since it is smaller than the sum of its proper divisors (3618473436).

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

2204420004 is a wasteful number, since it uses less digits than its factorization.

2204420004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2204420004 is about 46951.2513571257. The cubic root of 2204420004 is about 1301.4618671320.

Adding to 2204420004 its reverse (4000244022), we get a palindrome (6204664026).

The spelling of 2204420004 in words is "two billion, two hundred four million, four hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 919 1838 2757 2897 3676 5514 5794 8271 8691 11028 11588 16542 17382 21137 26073 33084 34764 42274 52146 63411 66631 84548 104292 126822 133262 190233 199893 253644 266524 380466 399786 599679 760932 799572 1199358 2398716 2662343 5324686 7987029 10649372 15974058 23961087 31948116 47922174 61233889 95844348 122467778 183701667 244935556 367403334 551105001 734806668 1102210002 2204420004