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2171157216 = 25365934319
BaseRepresentation
bin1000000101101001…
…0011101011100000
312121022102012210020
42001122103223200
513421304012331
6555235233440
7104542350264
oct20132235340
95538365706
102171157216
11a1461a608
12507148880
13287a73317
141684d00a4
15ca920c96
hex81693ae0

2171157216 has 48 divisors (see below), whose sum is σ = 5708102400. Its totient is φ = 722599808.

The previous prime is 2171157127. The next prime is 2171157217. The reversal of 2171157216 is 6127511712.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2171157217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46105 + ... + 80423.

It is an arithmetic number, because the mean of its divisors is an integer number (118918800).

Almost surely, 22171157216 is an apocalyptic number.

It is an amenable number.

2171157216 is an abundant number, since it is smaller than the sum of its proper divisors (3536945184).

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

2171157216 is a wasteful number, since it uses less digits than its factorization.

2171157216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34991 (or 34983 counting only the distinct ones).

The product of its digits is 5880, while the sum is 33.

The square root of 2171157216 is about 46595.6780828437. The cubic root of 2171157216 is about 1294.8826866096.

Adding to 2171157216 its reverse (6127511712), we get a palindrome (8298668928).

The spelling of 2171157216 in words is "two billion, one hundred seventy-one million, one hundred fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 659 1318 1977 2636 3954 5272 7908 10544 15816 21088 31632 34319 63264 68638 102957 137276 205914 274552 411828 549104 823656 1098208 1647312 3294624 22616221 45232442 67848663 90464884 135697326 180929768 271394652 361859536 542789304 723719072 1085578608 2171157216