Search a number
-
+
2142251430 = 2351117735231
BaseRepresentation
bin111111110110000…
…0010100110100110
312112022000122111120
41333230002212212
513341404021210
6552323514410
7104041556664
oct17754024646
95468018446
102142251430
119aa277230
124b9528a06
13281a923c7
14164727c34
15c8111270
hex7fb029a6

2142251430 has 128 divisors (see below), whose sum is σ = 6021236736. Its totient is φ = 481996800.

The previous prime is 2142251407. The next prime is 2142251483. The reversal of 2142251430 is 341522412.

It is a self number, because there is not a number n which added to its sum of digits gives 2142251430.

It is a congruent number.

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, 406915 + ... + 412145.

It is an arithmetic number, because the mean of its divisors is an integer number (47040912).

Almost surely, 22142251430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142251430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010618368).

2142251430 is an abundant number, since it is smaller than the sum of its proper divisors (3878985306).

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

2142251430 is a wasteful number, since it uses less digits than its factorization.

2142251430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2142251430 is about 46284.4620796224. The cubic root of 2142251430 is about 1289.1105039255.

Adding to 2142251430 its reverse (341522412), we get a palindrome (2483773842).

The spelling of 2142251430 in words is "two billion, one hundred forty-two million, two hundred fifty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 73 85 102 110 146 165 170 187 219 255 330 365 374 438 510 561 730 803 935 1095 1122 1241 1606 1870 2190 2409 2482 2805 3723 4015 4818 5231 5610 6205 7446 8030 10462 12045 12410 13651 15693 18615 24090 26155 27302 31386 37230 40953 52310 57541 68255 78465 81906 88927 115082 136510 156930 172623 177854 204765 266781 287705 345246 381863 409530 444635 533562 575410 763726 863115 889270 978197 1145589 1333905 1726230 1909315 1956394 2291178 2667810 2934591 3818630 4200493 4890985 5727945 5869182 6491671 8400986 9781970 11455890 12601479 12983342 14672955 19475013 21002465 25202958 29345910 32458355 38950026 42004930 63007395 64916710 71408381 97375065 126014790 142816762 194750130 214225143 357041905 428450286 714083810 1071125715 2142251430