Search a number
-
+
2226572224 = 262361137181
BaseRepresentation
bin1000010010110110…
…1100101111000000
312202011200120212221
42010231230233000
514030000302344
61004535100424
7106114360132
oct20455545700
95664616787
102226572224
11a42929738
12521811714
132963a6376
141719d7052
15d071a184
hex84b6cbc0

2226572224 has 112 divisors (see below), whose sum is σ = 4746321216. Its totient is φ = 1034035200.

The previous prime is 2226572177. The next prime is 2226572233. The reversal of 2226572224 is 4222756222.

It is a self number, because there is not a number n which added to its sum of digits gives 2226572224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12301414 + ... + 12301594.

It is an arithmetic number, because the mean of its divisors is an integer number (42377868).

Almost surely, 22226572224 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 2226572224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373160608).

2226572224 is an abundant number, since it is smaller than the sum of its proper divisors (2519748992).

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

2226572224 is a wasteful number, since it uses less digits than its factorization.

2226572224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 404 counting only the distinct ones).

The product of its digits is 53760, while the sum is 34.

The square root of 2226572224 is about 47186.5682583508. The cubic root of 2226572224 is about 1305.8068094594.

The spelling of 2226572224 in words is "two billion, two hundred twenty-six million, five hundred seventy-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 61 64 92 122 137 181 184 244 274 362 368 488 548 724 736 976 1096 1403 1448 1472 1952 2192 2806 2896 3151 3904 4163 4384 5612 5792 6302 8326 8357 8768 11041 11224 11584 12604 16652 16714 22082 22448 24797 25208 33304 33428 44164 44896 49594 50416 66608 66856 88328 89792 99188 100832 133216 133712 176656 192211 198376 201664 253943 266432 267424 353312 384422 396752 507886 534848 570331 706624 768844 793504 1015772 1140662 1512617 1537688 1587008 2031544 2281324 3025234 3075376 4063088 4562648 6050468 6150752 8126176 9125296 12100936 12301504 16252352 18250592 24201872 34790191 36501184 48403744 69580382 96807488 139160764 278321528 556643056 1113286112 2226572224