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2171201136 = 2431321914087
BaseRepresentation
bin1000000101101001…
…1110011001110000
312121022111110000220
42001122132121300
513421311414021
6555240213040
7104542622316
oct20132363160
95538443026
102171201136
11a1464a605
1250716a180
13287a8a300
141685020b6
15ca92dcc6
hex8169e670

2171201136 has 120 divisors (see below), whose sum is σ = 6393697920. Its totient is φ = 632855808.

The previous prime is 2171201119. The next prime is 2171201147. The reversal of 2171201136 is 6311021712.

It is a super-2 number, since 2×21712011362 = 9428228745935380992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 147085 + ... + 161171.

It is an arithmetic number, because the mean of its divisors is an integer number (53280816).

Almost surely, 22171201136 is an apocalyptic number.

2171201136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2171201136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196848960).

2171201136 is an abundant number, since it is smaller than the sum of its proper divisors (4222496784).

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

2171201136 is a wasteful number, since it uses less digits than its factorization.

2171201136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14143 (or 14124 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 2171201136 is about 46596.1493688051. The cubic root of 2171201136 is about 1294.8914178773.

Adding to 2171201136 its reverse (6311021712), we get a palindrome (8482222848).

The spelling of 2171201136 in words is "two billion, one hundred seventy-one million, two hundred one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 169 208 228 247 304 312 338 456 494 507 624 676 741 912 988 1014 1352 1482 1976 2028 2704 2964 3211 3952 4056 5928 6422 8112 9633 11856 12844 14087 19266 25688 28174 38532 42261 51376 56348 77064 84522 112696 154128 169044 183131 225392 267653 338088 366262 535306 549393 676176 732524 802959 1070612 1098786 1465048 1605918 2141224 2197572 2380703 2930096 3211836 3479489 4282448 4395144 4761406 6423672 6958978 7142109 8790288 9522812 10438467 12847344 13917956 14284218 19045624 20876934 27835912 28568436 38091248 41753868 45233357 55671824 57136872 83507736 90466714 114273744 135700071 167015472 180933428 271400142 361866856 542800284 723733712 1085600568 2171201136