Search a number
-
+
2234057436 = 223513237687
BaseRepresentation
bin1000010100101001…
…0000001011011100
312202200202212200000
42011022100023130
514033404314221
61005403334300
7106235113662
oct20512201334
95680685600
102234057436
11a47081466
12524221390
13297ac73a0
141729c4c32
15d11e7e26
hex852902dc

2234057436 has 144 divisors (see below), whose sum is σ = 6581912064. Its totient is φ = 657429696.

The previous prime is 2234057407. The next prime is 2234057443. The reversal of 2234057436 is 6347504322.

2234057436 is a `hidden beast` number, since 22 + 34 + 0 + 574 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2234057436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286785 + ... + 294471.

Almost surely, 22234057436 is an apocalyptic number.

2234057436 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234057436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290956032).

2234057436 is an abundant number, since it is smaller than the sum of its proper divisors (4347854628).

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

2234057436 is a wasteful number, since it uses less digits than its factorization.

2234057436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7742 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 2234057436 is about 47265.8167812638. The cubic root of 2234057436 is about 1307.2684445542.

The spelling of 2234057436 in words is "two billion, two hundred thirty-four million, fifty-seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 81 92 108 117 138 156 162 207 234 243 276 299 324 351 414 468 486 598 621 702 828 897 972 1053 1196 1242 1404 1794 1863 2106 2484 2691 3159 3588 3726 4212 5382 5589 6318 7452 7687 8073 10764 11178 12636 15374 16146 22356 23061 24219 30748 32292 46122 48438 69183 72657 92244 96876 99931 138366 145314 176801 199862 207549 276732 290628 299793 353602 399724 415098 530403 599586 622647 707204 830196 899379 1060806 1199172 1245294 1591209 1798758 1867941 2121612 2298413 2490588 2698137 3182418 3597516 3735882 4596826 4773627 5396274 6364836 6895239 7471764 8094411 9193652 9547254 10792548 13790478 14320881 16188822 19094508 20685717 24283233 27580956 28641762 32377644 41371434 42962643 48566466 57283524 62057151 82742868 85925286 97132932 124114302 171850572 186171453 248228604 372342906 558514359 744685812 1117028718 2234057436