Search a number
-
+
201504045232 = 24710722375401
BaseRepresentation
bin1011101110101010010…
…0111011100010110000
3201021010011102002200101
42323222210323202300
511300140013421412
6232323015002144
720362313060350
oct2735244734260
9637104362611
10201504045232
1178503864696
1233077369354
1316003ac9779
149a77b58b60
15539551c457
hex2eea93b8b0

201504045232 has 80 divisors (see below), whose sum is σ = 452383045632. Its totient is φ = 85167014400.

The previous prime is 201504045229. The next prime is 201504045247. The reversal of 201504045232 is 232540405102.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 201504045232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2634732 + ... + 2710132.

Almost surely, 2201504045232 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 201504045232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226191522816).

201504045232 is an abundant number, since it is smaller than the sum of its proper divisors (250879000400).

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

201504045232 is a wasteful number, since it uses less digits than its factorization.

201504045232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75746 (or 75740 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The spelling of 201504045232 in words is "two hundred one billion, five hundred four million, forty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 214 223 428 446 749 856 892 1498 1561 1712 1784 2996 3122 3568 5992 6244 11984 12488 23861 24976 47722 75401 95444 150802 167027 190888 301604 334054 381776 527807 603208 668108 1055614 1206416 1336216 2111228 2672432 4222456 8067907 8444912 16135814 16814423 32271628 33628846 56475349 64543256 67257692 112950698 117700961 129086512 134515384 225901396 235401922 269030768 451802792 470803844 903605584 941607688 1799143261 1883215376 3598286522 7196573044 12594002827 14393146088 25188005654 28786292176 50376011308 100752022616 201504045232