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4222014130 = 251923773433
BaseRepresentation
bin1111101110100110…
…1101001010110010
3101220020110112120201
43323221231022302
532121313423010
61534540225414
7206424346045
oct37351551262
911806415521
104222014130
111877242784
12999b3b26a
13523915b19
142c0a26c5c
1519a9cc23a
hexfba6d2b2

4222014130 has 96 divisors (see below), whose sum is σ = 8369558064. Its totient is φ = 1531809792.

The previous prime is 4222014127. The next prime is 4222014133. The reversal of 4222014130 is 314102224.

It is an interprime number because it is at equal distance from previous prime (4222014127) and next prime (4222014133).

It can be written as a sum of positive squares in 8 ways, for example, as 1978381441 + 2243632689 = 44479^2 + 47367^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 4222014098 and 4222014107.

It is not an unprimeable number, because it can be changed into a prime (4222014133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9750394 + ... + 9750826.

Almost surely, 24222014130 is an apocalyptic number.

4222014130 is a deficient number, since it is larger than the sum of its proper divisors (4147543934).

4222014130 is a wasteful number, since it uses less digits than its factorization.

4222014130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4222014130 is about 64977.0277097991. The cubic root of 4222014130 is about 1616.2426422346.

Adding to 4222014130 its reverse (314102224), we get a palindrome (4536116354).

The spelling of 4222014130 in words is "four billion, two hundred twenty-two million, fourteen thousand, one hundred thirty".

Divisors: 1 2 5 10 19 37 38 73 74 95 146 185 190 361 365 370 433 703 722 730 866 1387 1406 1805 2165 2701 2774 3515 3610 4330 5402 6935 7030 8227 13357 13505 13870 16021 16454 26353 26714 27010 31609 32042 41135 51319 52706 63218 66785 80105 82270 102638 131765 133570 156313 158045 160210 256595 263530 304399 312626 316090 513190 600571 608798 781565 975061 1169533 1201142 1521995 1563130 1950122 2339066 3002855 3043990 4875305 5783581 5847665 6005710 9750610 11410849 11567162 11695330 22221127 22821698 28917905 44442254 57054245 57835810 111105635 114108490 222211270 422201413 844402826 2111007065 4222014130