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2114036430 = 2351197211313
BaseRepresentation
bin111111000000001…
…1010001011001110
312110022221011210120
41332000122023032
513312143131210
6545435045410
7103250004342
oct17600321316
95408834716
102114036430
11995355950
124abba0866
13278c93a3c
14160aa1622
15c58db270
hex7e01a2ce

2114036430 has 128 divisors (see below), whose sum is σ = 5636445696. Its totient is φ = 503193600.

The previous prime is 2114036423. The next prime is 2114036437. The reversal of 2114036430 is 346304112.

It is an interprime number because it is at equal distance from previous prime (2114036423) and next prime (2114036437).

It is a self number, because there is not a number n which added to its sum of digits gives 2114036430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114036437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6753954 + ... + 6754266.

It is an arithmetic number, because the mean of its divisors is an integer number (44034732).

Almost surely, 22114036430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114036430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818222848).

2114036430 is an abundant number, since it is smaller than the sum of its proper divisors (3522409266).

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

2114036430 is a wasteful number, since it uses less digits than its factorization.

2114036430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2114036430 is about 45978.6518941128. The cubic root of 2114036430 is about 1283.4259681637.

The spelling of 2114036430 in words is "two billion, one hundred fourteen million, thirty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 97 110 165 194 211 291 313 330 422 485 582 626 633 939 970 1055 1067 1266 1455 1565 1878 2110 2134 2321 2910 3130 3165 3201 3443 4642 4695 5335 6330 6402 6886 6963 9390 10329 10670 11605 13926 16005 17215 20467 20658 23210 30361 32010 34430 34815 40934 51645 60722 61401 66043 69630 91083 102335 103290 122802 132086 151805 182166 198129 204670 225137 303610 307005 330215 333971 396258 450274 455415 614010 660430 667942 675411 726473 910830 990645 1001913 1125685 1350822 1452946 1669855 1981290 2003826 2179419 2251370 3339710 3377055 3632365 4358838 5009565 6406171 6754110 7264730 10019130 10897095 12812342 19218513 21794190 32030855 38437026 64061710 70467881 96092565 140935762 192185130 211403643 352339405 422807286 704678810 1057018215 2114036430