Search a number
-
+
215231401424 = 2413171931110301
BaseRepresentation
bin1100100001110011001…
…0101000110111010000
3202120112211212001021002
43020130302220313100
512011243214321144
6242513111521132
721356430504104
oct3103462506720
9676484761232
10215231401424
1183308573566
12358686891a8
13173b0a98340
14a5bad3d904
1558ea74714e
hex321cca8dd0

215231401424 has 160 divisors (see below), whose sum is σ = 502190357760. Its totient is φ = 88280064000.

The previous prime is 215231401421. The next prime is 215231401453. The reversal of 215231401424 is 424104132512.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215231401421) 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, 20889074 + ... + 20899374.

It is an arithmetic number, because the mean of its divisors is an integer number (3138689736).

Almost surely, 2215231401424 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 215231401424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251095178880).

215231401424 is an abundant number, since it is smaller than the sum of its proper divisors (286958956336).

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

215231401424 is a wasteful number, since it uses less digits than its factorization.

215231401424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10669 (or 10663 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 215231401424 its reverse (424104132512), we get a palindrome (639335533936).

The spelling of 215231401424 in words is "two hundred fifteen billion, two hundred thirty-one million, four hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 19 26 34 38 52 68 76 104 136 152 208 221 247 272 304 311 323 442 494 622 646 884 988 1244 1292 1768 1976 2488 2584 3536 3952 4043 4199 4976 5168 5287 5909 8086 8398 10301 10574 11818 16172 16796 20602 21148 23636 32344 33592 41204 42296 47272 64688 67184 68731 76817 82408 84592 94544 100453 133913 137462 153634 164816 175117 195719 200906 267826 274924 307268 350234 391438 401812 535652 549848 614536 700468 782876 803624 1071304 1099696 1229072 1305889 1400936 1565752 1607248 2142608 2276521 2544347 2611778 2801872 3131504 3203611 3327223 4553042 5088694 5223556 6407222 6654446 9106084 10177388 10447112 12814444 13308892 18212168 20354776 20894224 25628888 26617784 36424336 40709552 41646943 43253899 51257776 53235568 54461387 60868609 83293886 86507798 108922774 121737218 166587772 173015596 217845548 243474436 333175544 346031192 435691096 486948872 666351088 692062384 707998031 791291917 871382192 973897744 1034766353 1415996062 1582583834 2069532706 2831992124 3165167668 4139065412 5663984248 6330335336 8278130824 11327968496 12660670672 13451962589 16556261648 26903925178 53807850356 107615700712 215231401424