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2189575136 = 25731437333
BaseRepresentation
bin1000001010000010…
…0100001111100000
312122121001221102102
42002200210033200
513441012401021
61001134105532
7105155036660
oct20240441740
95577057372
102189575136
11a23a5a231
1251134b2a8
1328b8215b8
1416ab261a0
15cc35d00b
hex828243e0

2189575136 has 96 divisors (see below), whose sum is σ = 5204441088. Its totient is φ = 886878720.

The previous prime is 2189575103. The next prime is 2189575147. The reversal of 2189575136 is 6315759812.

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, 294926 + ... + 302258.

It is an arithmetic number, because the mean of its divisors is an integer number (54212928).

Almost surely, 22189575136 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 2189575136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602220544).

2189575136 is an abundant number, since it is smaller than the sum of its proper divisors (3014865952).

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

2189575136 is a wasteful number, since it uses less digits than its factorization.

2189575136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7424 (or 7416 counting only the distinct ones).

The product of its digits is 453600, while the sum is 47.

The square root of 2189575136 is about 46792.8962129937. The cubic root of 2189575136 is about 1298.5338769301.

The spelling of 2189575136 in words is "two billion, one hundred eighty-nine million, five hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 43 56 62 86 112 124 172 217 224 248 301 344 434 496 602 688 868 992 1204 1333 1376 1736 2408 2666 3472 4816 5332 6944 7333 9331 9632 10664 14666 18662 21328 29332 37324 42656 51331 58664 74648 102662 117328 149296 205324 227323 234656 298592 315319 410648 454646 630638 821296 909292 1261276 1591261 1642592 1818584 2207233 2522552 3182522 3637168 4414466 5045104 6365044 7274336 8828932 9774889 10090208 12730088 17657864 19549778 25460176 35315728 39099556 50920352 68424223 70631456 78199112 136848446 156398224 273696892 312796448 547393784 1094787568 2189575136