Search a number
-
+
1430101224 = 2333431071439
BaseRepresentation
bin101010100111101…
…1001110011101000
310200122222200002000
41111033121303220
510412101214344
6353524011000
750303442216
oct12517316350
93618880060
101430101224
11674289242
1233ab30a60
1319a38a856
14d7d09cb6
158583da69
hex553d9ce8

1430101224 has 128 divisors (see below), whose sum is σ = 4105728000. Its totient is φ = 460942272.

The previous prime is 1430101187. The next prime is 1430101229. The reversal of 1430101224 is 4221010341.

1430101224 is a `hidden beast` number, since 1 + 430 + 10 + 1 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1430101197 and 1430101206.

It is not an unprimeable number, because it can be changed into a prime (1430101229) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 993097 + ... + 994535.

It is an arithmetic number, because the mean of its divisors is an integer number (32076000).

Almost surely, 21430101224 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 1430101224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052864000).

1430101224 is an abundant number, since it is smaller than the sum of its proper divisors (2675626776).

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

1430101224 is a wasteful number, since it uses less digits than its factorization.

1430101224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1430101224 is about 37816.6791773154. The cubic root of 1430101224 is about 1126.6497537619.

Adding to 1430101224 its reverse (4221010341), we get a palindrome (5651111565).

The spelling of 1430101224 in words is "one billion, four hundred thirty million, one hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 107 108 129 172 214 216 258 321 344 387 428 516 642 774 856 963 1032 1161 1284 1439 1548 1926 2322 2568 2878 2889 3096 3852 4317 4601 4644 5756 5778 7704 8634 9202 9288 11512 11556 12951 13803 17268 18404 23112 25902 27606 34536 36808 38853 41409 51804 55212 61877 77706 82818 103608 110424 123754 124227 153973 155412 165636 185631 247508 248454 307946 310824 331272 371262 461919 495016 496908 556893 615892 742524 923838 993816 1113786 1231784 1385757 1485048 1670679 1847676 2227572 2771514 3341358 3695352 4157271 4455144 5543028 6620839 6682716 8314542 11086056 13241678 13365432 16629084 19862517 26483356 33258168 39725034 52966712 59587551 79450068 119175102 158900136 178762653 238350204 357525306 476700408 715050612 1430101224