Search a number
-
+
2234379114 = 2331123672441
BaseRepresentation
bin1000010100101101…
…1110101101101010
312202201101012221000
42011023132231222
514034000112424
61005414255430
7106240623552
oct20513365552
95681335830
102234379114
11a47281110
12524357576
13297baa926
14172a6a162
15d125d3c9
hex852deb6a

2234379114 has 128 divisors (see below), whose sum is σ = 5738895360. Its totient is φ = 637718400.

The previous prime is 2234379101. The next prime is 2234379131. The reversal of 2234379114 is 4119734322.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 914134 + ... + 916574.

It is an arithmetic number, because the mean of its divisors is an integer number (44835120).

Almost surely, 22234379114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234379114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869447680).

2234379114 is an abundant number, since it is smaller than the sum of its proper divisors (3504516246).

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

2234379114 is a wasteful number, since it uses less digits than its factorization.

2234379114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2547 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2234379114 is about 47269.2195196832. The cubic root of 2234379114 is about 1307.3311853041.

The spelling of 2234379114 in words is "two billion, two hundred thirty-four million, three hundred seventy-nine thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 67 69 99 134 138 198 201 207 253 297 402 414 506 594 603 621 737 759 1206 1242 1474 1518 1541 1809 2211 2277 2441 3082 3618 4422 4554 4623 4882 6633 6831 7323 9246 13266 13662 13869 14646 16951 19899 21969 26851 27738 33902 39798 41607 43938 50853 53702 56143 65907 80553 83214 101706 112286 131814 152559 161106 163547 168429 241659 305118 327094 336858 457677 483318 490641 505287 617573 724977 915354 981282 1010574 1235146 1449954 1471923 1515861 1799017 1852719 2943846 3031722 3598034 3705438 3761581 4415769 5397051 5558157 7523162 8831538 10794102 11116314 11284743 16191153 16674471 22569486 32382306 33348942 33854229 41377391 48573459 67708458 82754782 97146918 101562687 124132173 203125374 248264346 372396519 744793038 1117189557 2234379114