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2195135376 = 243747229607
BaseRepresentation
bin1000001011010111…
…0001101110010000
312122222112102122020
42002311301232100
513443423313001
61001453211440
7105253225410
oct20265615620
95588472566
102195135376
11a27107775
12513190b80
1328ca1a395
1416b772640
15ccaaa736
hex82d71b90

2195135376 has 160 divisors (see below), whose sum is σ = 6658621440. Its totient is φ = 610149888.

The previous prime is 2195135357. The next prime is 2195135377. The reversal of 2195135376 is 6735315912.

It is a super-2 number, since 2×21951353762 = 9637238637933322752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2195135377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3616065 + ... + 3616671.

It is an arithmetic number, because the mean of its divisors is an integer number (41616384).

Almost surely, 22195135376 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 2195135376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329310720).

2195135376 is an abundant number, since it is smaller than the sum of its proper divisors (4463486064).

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

2195135376 is a wasteful number, since it uses less digits than its factorization.

2195135376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 895 counting only the distinct ones).

The product of its digits is 170100, while the sum is 42.

The square root of 2195135376 is about 46852.2718339250. The cubic root of 2195135376 is about 1299.6321199685.

The spelling of 2195135376 in words is "two billion, one hundred ninety-five million, one hundred thirty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 229 282 329 336 376 458 564 607 658 687 752 916 987 1128 1214 1316 1374 1603 1821 1832 1974 2256 2428 2632 2748 3206 3642 3664 3948 4249 4809 4856 5264 5496 6412 7284 7896 8498 9618 9712 10763 10992 12747 12824 14568 15792 16996 19236 21526 25494 25648 28529 29136 32289 33992 38472 43052 50988 57058 64578 67984 75341 76944 85587 86104 101976 114116 129156 139003 150682 171174 172208 199703 203952 226023 228232 258312 278006 301364 342348 399406 417009 452046 456464 516624 556012 599109 602728 684696 798812 834018 904092 973021 1112024 1198218 1205456 1369392 1597624 1668036 1808184 1946042 2224048 2396436 2919063 3195248 3336072 3616368 3892084 4792872 5838126 6533141 6672144 7784168 9585744 11676252 13066282 15568336 19599423 23352504 26132564 39198846 45731987 46705008 52265128 78397692 91463974 104530256 137195961 156795384 182927948 274391922 313590768 365855896 548783844 731711792 1097567688 2195135376