Search a number
-
+
15225142104 = 233359220249
BaseRepresentation
bin11100010110111110…
…10011101101011000
31110022001210100121000
432023133103231120
5222140114021404
610554435345000
71046202400254
oct161337235530
943261710530
1015225142104
116503217677
122b4aa52160
131588397133
14a460ad264
155e1988339
hex38b7d3b58

15225142104 has 96 divisors (see below), whose sum is σ = 43023150000. Its totient is φ = 4988783232.

The previous prime is 15225142087. The next prime is 15225142117. The reversal of 15225142104 is 40124152251.

It is a happy number.

15225142104 is a `hidden beast` number, since 15 + 225 + 1 + 421 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741772 + ... + 762020.

Almost surely, 215225142104 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 15225142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21511575000).

15225142104 is an abundant number, since it is smaller than the sum of its proper divisors (27798007896).

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

15225142104 is a wasteful number, since it uses less digits than its factorization.

15225142104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20382 (or 20313 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 15225142104 its reverse (40124152251), we get a palindrome (55349294355).

The spelling of 15225142104 in words is "fifteen billion, two hundred twenty-five million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 708 1062 1416 1593 2124 3186 3481 4248 6372 6962 10443 12744 13924 20249 20886 27848 31329 40498 41772 60747 62658 80996 83544 93987 121494 125316 161992 182241 187974 242988 250632 364482 375948 485976 546723 728964 751896 1093446 1194691 1457928 2186892 2389382 3584073 4373784 4778764 7168146 9557528 10752219 14336292 21504438 28672584 32256657 43008876 64513314 70486769 86017752 129026628 140973538 211460307 258053256 281947076 422920614 563894152 634380921 845841228 1268761842 1691682456 1903142763 2537523684 3806285526 5075047368 7612571052 15225142104