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2234011332 = 2237247229353
BaseRepresentation
bin1000010100101000…
…0100111011000100
312202200200112102110
42011022010323010
514033401330312
61005402341020
7106234532400
oct20512047304
95680615373
102234011332
11a4704a863
125241ba770
13297aac3c7
141729b2100
15d11d943c
hex85284ec4

2234011332 has 144 divisors (see below), whose sum is σ = 6237423360. Its totient is φ = 620218368.

The previous prime is 2234011319. The next prime is 2234011343. The reversal of 2234011332 is 2331104322.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2234011299 and 2234011308.

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, 6328468 + ... + 6328820.

It is an arithmetic number, because the mean of its divisors is an integer number (43315440).

Almost surely, 22234011332 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 2234011332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118711680).

2234011332 is an abundant number, since it is smaller than the sum of its proper divisors (4003412028).

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

2234011332 is a wasteful number, since it uses less digits than its factorization.

2234011332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2234011332 is about 47265.3290689909. The cubic root of 2234011332 is about 1307.2594518401.

Adding to 2234011332 its reverse (2331104322), we get a palindrome (4565115654).

The spelling of 2234011332 in words is "two billion, two hundred thirty-four million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 49 84 94 98 141 147 188 196 229 282 294 329 353 458 564 588 658 687 706 916 987 1059 1316 1374 1412 1603 1974 2118 2303 2471 2748 3206 3948 4236 4606 4809 4942 6412 6909 7413 9212 9618 9884 10763 11221 13818 14826 16591 17297 19236 21526 22442 27636 29652 32289 33182 33663 34594 43052 44884 49773 51891 64578 66364 67326 69188 75341 80837 99546 103782 116137 129156 134652 150682 161674 199092 207564 226023 232274 242511 301364 323348 348411 452046 464548 485022 527387 565859 696822 812959 904092 970044 1054774 1131718 1393644 1582161 1625918 1697577 2109548 2263436 2438877 3164322 3251836 3395154 3799339 3961013 4877754 6328644 6790308 7598678 7922026 9755508 11398017 11883039 15197356 15844052 22796034 23766078 26595373 45592068 47532156 53190746 79786119 106381492 159572238 186167611 319144476 372335222 558502833 744670444 1117005666 2234011332