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2204420432 = 2419411491187
BaseRepresentation
bin1000001101100100…
…1100100101010000
312200122000011100012
42003121030211100
514003312423212
61002424214052
7105425156504
oct20331144520
95618004305
102204420432
11a31379775
1251630a328
1329191b6b6
1416caac304
15cd7e1922
hex8364c950

2204420432 has 80 divisors (see below), whose sum is σ = 4640328000. Its totient is φ = 1011041280.

The previous prime is 2204420431. The next prime is 2204420483. The reversal of 2204420432 is 2340244022.

It is a junction number, because it is equal to n+sod(n) for n = 2204420398 and 2204420407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2204420431) 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, 1856543 + ... + 1857729.

It is an arithmetic number, because the mean of its divisors is an integer number (58004100).

Almost surely, 22204420432 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 2204420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320164000).

2204420432 is an abundant number, since it is smaller than the sum of its proper divisors (2435907568).

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

2204420432 is a wasteful number, since it uses less digits than its factorization.

2204420432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 2204420432 is about 46951.2559150445. The cubic root of 2204420432 is about 1301.4619513606.

Adding to 2204420432 its reverse (2340244022), we get a palindrome (4544664454).

The spelling of 2204420432 in words is "two billion, two hundred four million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 41 76 82 149 152 164 298 304 328 596 656 779 1187 1192 1558 2374 2384 2831 3116 4748 5662 6109 6232 9496 11324 12218 12464 18992 22553 22648 24436 45106 45296 48667 48872 90212 97334 97744 116071 176863 180424 194668 232142 353726 360848 389336 464284 707452 778672 924673 928568 1414904 1849346 1857136 2829808 3360397 3698692 6720794 7251383 7397384 13441588 14502766 14794768 26883176 29005532 53766352 58011064 116022128 137776277 275552554 551105108 1102210216 2204420432