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2242224030 = 235294196151
BaseRepresentation
bin1000010110100101…
…1001111110011110
312210021010210010110
42011221121332132
514043002132110
61010254350450
7106364406204
oct20551317636
95707123113
102242224030
11a5074a112
12526abb426
132996c65a7
14173b0d074
15d1caca20
hex85a59f9e

2242224030 has 64 divisors (see below), whose sum is σ = 5581094400. Its totient is φ = 575836800.

The previous prime is 2242223987. The next prime is 2242224041. The reversal of 2242224030 is 304222422.

It is a junction number, because it is equal to n+sod(n) for n = 2242223988 and 2242224006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361455 + ... + 367605.

It is an arithmetic number, because the mean of its divisors is an integer number (87204600).

Almost surely, 22242224030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242224030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790547200).

2242224030 is an abundant number, since it is smaller than the sum of its proper divisors (3338870370).

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

2242224030 is a wasteful number, since it uses less digits than its factorization.

2242224030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6609.

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2242224030 is about 47352.1280408811. The cubic root of 2242224030 is about 1308.8594135539.

Adding to 2242224030 its reverse (304222422), we get a palindrome (2546446452).

The spelling of 2242224030 in words is "two billion, two hundred forty-two million, two hundred twenty-four thousand, thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 419 435 838 870 1257 2095 2514 4190 6151 6285 12151 12302 12570 18453 24302 30755 36453 36906 60755 61510 72906 92265 121510 178379 182265 184530 356758 364530 535137 891895 1070274 1783790 2577269 2675685 5154538 5351370 7731807 12886345 15463614 25772690 38659035 74740801 77318070 149481602 224222403 373704005 448444806 747408010 1121112015 2242224030