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2195828028 = 223473263353
BaseRepresentation
bin1000001011100001…
…1010110100111100
312200000211121210000
42002320122310330
513444112444103
61001520114300
7105262141662
oct20270326474
95600747700
102195828028
11a27540109
12513465990
1328cc00734
1416b8b2c32
15ccb95aa3
hex82e1ad3c

2195828028 has 120 divisors (see below), whose sum is σ = 5857635168. Its totient is φ = 717133824.

The previous prime is 2195828023. The next prime is 2195828083. The reversal of 2195828028 is 8208285912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2195828023) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6220300 + ... + 6220652.

Almost surely, 22195828028 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 2195828028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928817584).

2195828028 is an abundant number, since it is smaller than the sum of its proper divisors (3661807140).

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

2195828028 is a wasteful number, since it uses less digits than its factorization.

2195828028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 2195828028 is about 46859.6631229888. The cubic root of 2195828028 is about 1299.7688006993.

The spelling of 2195828028 in words is "two billion, one hundred ninety-five million, eight hundred twenty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 263 292 324 353 438 526 657 706 789 876 1052 1059 1314 1412 1578 1971 2118 2367 2628 3156 3177 3942 4236 4734 5913 6354 7101 7884 9468 9531 11826 12708 14202 19062 19199 21303 23652 25769 28404 28593 38124 38398 42606 51538 57186 57597 76796 77307 85212 92839 103076 114372 115194 154614 172791 185678 230388 231921 278517 309228 345582 371356 463842 518373 557034 691164 695763 835551 927684 1036746 1114068 1391526 1555119 1671102 2073492 2087289 2506653 2783052 3110238 3342204 4174578 5013306 6220476 6777247 7519959 8349156 10026612 13554494 15039918 20331741 27108988 30079836 40663482 60995223 81326964 121990446 182985669 243980892 365971338 548957007 731942676 1097914014 2195828028