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444226002 = 2311232910091
BaseRepresentation
bin11010011110100…
…101100111010010
31010221220000111220
4122132211213102
51402210213002
6112025145510
714002600353
oct3236454722
91127800456
10444226002
11208832630
1210492b296
137105782c
1442dd7d2a
1528eec7bc
hex1a7a59d2

444226002 has 64 divisors (see below), whose sum is σ = 1046338560. Its totient is φ = 124308800.

The previous prime is 444225989. The next prime is 444226007. The reversal of 444226002 is 200622444.

It is not an unprimeable number, because it can be changed into a prime (444226007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38977 + ... + 49067.

It is an arithmetic number, because the mean of its divisors is an integer number (16349040).

Almost surely, 2444226002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444226002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523169280).

444226002 is an abundant number, since it is smaller than the sum of its proper divisors (602112558).

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

444226002 is a wasteful number, since it uses less digits than its factorization.

444226002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10159.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 444226002 is about 21076.6696135798. The cubic root of 444226002 is about 763.0177807912.

Adding to 444226002 its reverse (200622444), we get a palindrome (644848446).

The spelling of 444226002 in words is "four hundred forty-four million, two hundred twenty-six thousand, two".

Divisors: 1 2 3 6 11 22 23 29 33 46 58 66 69 87 138 174 253 319 506 638 667 759 957 1334 1518 1914 2001 4002 7337 10091 14674 20182 22011 30273 44022 60546 111001 222002 232093 292639 333003 464186 585278 666006 696279 877917 1392558 1755834 2553023 3219029 5106046 6438058 6730697 7659069 9657087 13461394 15318138 19314174 20192091 40384182 74037667 148075334 222113001 444226002