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2274435468 = 22324710511279
BaseRepresentation
bin1000011110010001…
…0010000110001100
312212111202021220200
42013210102012030
514124223413333
61013405013500
7110235245124
oct20744220614
95774667820
102274435468
11a67950038
12535854290
132a3294006
141780d5c84
15d4a21c13
hex8791218c

2274435468 has 72 divisors (see below), whose sum is σ = 5881774080. Its totient is φ = 740728800.

The previous prime is 2274435439. The next prime is 2274435511. The reversal of 2274435468 is 8645344722.

It is a happy number.

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, 1777653 + ... + 1778931.

Almost surely, 22274435468 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 2274435468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940887040).

2274435468 is an abundant number, since it is smaller than the sum of its proper divisors (3607338612).

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

2274435468 is a wasteful number, since it uses less digits than its factorization.

2274435468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2382 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 2274435468 is about 47691.0418003214. The cubic root of 2274435468 is about 1315.0972604647.

The spelling of 2274435468 in words is "two billion, two hundred seventy-four million, four hundred thirty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1051 1279 1692 2102 2558 3153 3837 4204 5116 6306 7674 9459 11511 12612 15348 18918 23022 37836 46044 49397 60113 98794 120226 148191 180339 197588 240452 296382 360678 444573 541017 592764 721356 889146 1082034 1344229 1778292 2164068 2688458 4032687 5376916 8065374 12098061 16130748 24196122 48392244 63178763 126357526 189536289 252715052 379072578 568608867 758145156 1137217734 2274435468