Search a number
-
+
8220573036 = 2234132150131
BaseRepresentation
bin1111010011111101…
…11111110101101100
3210012220110101020000
413221332333311230
5113313431314121
63435415224300
7410466501144
oct75176776554
923186411200
108220573036
113539332215
121715078090
13a10151600
1457dac3924
15331a6a526
hex1e9fbfd6c

8220573036 has 90 divisors (see below), whose sum is σ = 23270610132. Its totient is φ = 2529390240.

The previous prime is 8220573029. The next prime is 8220573061. The reversal of 8220573036 is 6303750228.

8220573036 is a `hidden beast` number, since 82 + 2 + 0 + 573 + 0 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 20310 + ... + 129821.

Almost surely, 28220573036 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 8220573036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11635305066).

8220573036 is an abundant number, since it is smaller than the sum of its proper divisors (15050037096).

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

8220573036 is a wasteful number, since it uses less digits than its factorization.

8220573036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150173 (or 150149 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 8220573036 is about 90667.3758085013. The cubic root of 8220573036 is about 2018.2146951746.

The spelling of 8220573036 in words is "eight billion, two hundred twenty million, five hundred seventy-three thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 324 338 351 468 507 676 702 1014 1053 1404 1521 2028 2106 3042 4212 4563 6084 9126 13689 18252 27378 54756 150131 300262 450393 600524 900786 1351179 1801572 1951703 2702358 3903406 4053537 5404716 5855109 7806812 8107074 11710218 12160611 16214148 17565327 23420436 24321222 25372139 35130654 48642444 50744278 52695981 70261308 76116417 101488556 105391962 152232834 158087943 210783924 228349251 304465668 316175886 456698502 632351772 685047753 913397004 1370095506 2055143259 2740191012 4110286518 8220573036