Search a number
-
+
15270141222 = 2347157199431
BaseRepresentation
bin11100011100010101…
…11101110100100110
31110102012110112210000
432032022331310212
5222233124004342
611003124042130
71050260026110
oct161612756446
943365415700
1015270141222
116526662126
122b61b33346
1315947c122b
14a4c0643b0
155e58c644c
hex38e2bdd26

15270141222 has 160 divisors (see below), whose sum is σ = 39643084800. Its totient is φ = 4303316160.

The previous prime is 15270141221. The next prime is 15270141259. The reversal of 15270141222 is 22214107251.

It is a happy number.

15270141222 is a `hidden beast` number, since 1 + 527 + 0 + 14 + 122 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15270141221) 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 79 ways as a sum of consecutive naturals, for example, 35429347 + ... + 35429777.

It is an arithmetic number, because the mean of its divisors is an integer number (247769280).

Almost surely, 215270141222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15270141222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19821542400).

15270141222 is an abundant number, since it is smaller than the sum of its proper divisors (24372943578).

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

15270141222 is a wasteful number, since it uses less digits than its factorization.

15270141222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 15270141222 its reverse (22214107251), we get a palindrome (37484248473).

The spelling of 15270141222 in words is "fifteen billion, two hundred seventy million, one hundred forty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 157 162 189 199 314 378 398 431 471 567 597 862 942 1099 1134 1194 1293 1393 1413 1791 2198 2586 2786 2826 3017 3297 3582 3879 4179 4239 5373 6034 6594 7758 8358 8478 9051 9891 10746 11637 12537 12717 16119 18102 19782 23274 25074 25434 27153 29673 31243 32238 34911 37611 54306 59346 62486 67667 69822 75222 81459 85769 89019 93729 112833 135334 162918 171538 178038 187458 203001 218701 225666 244377 257307 281187 406002 437402 473669 488754 514614 562374 600383 609003 656103 771921 843561 947338 1200766 1218006 1312206 1421007 1543842 1687122 1801149 1827009 1968309 2315763 2530683 2842014 3602298 3654018 3936618 4263021 4631526 5061366 5403447 5481027 5904927 6947289 8526042 10806894 10962054 11809854 12789063 13465733 13894578 16210341 17714781 25578126 26931466 32420682 35429562 38367189 40397199 48631023 76734378 80794398 94260131 97262046 121191597 188520262 242383194 282780393 363574791 565560786 727149582 848341179 1090724373 1696682358 2181448746 2545023537 5090047074 7635070611 15270141222