Search a number
-
+
2162161716 = 22311139671303
BaseRepresentation
bin1000000011011111…
…1111100000110100
312120200111012021120
42000313333200310
513412003133331
6554314343540
7104403033321
oct20067774064
95520435246
102162161716
11a0a536110
1250412abb0
13285c43a40
1416722bb48
15c9c45796
hex80dff834

2162161716 has 96 divisors (see below), whose sum is σ = 5937727488. Its totient is φ = 603711360.

The previous prime is 2162161709. The next prime is 2162161723. The reversal of 2162161716 is 6171612612.

2162161716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2162161709) and next prime (2162161723).

It is a super-2 number, since 2×21621617162 = 9349886572272129312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1658721 + ... + 1660023.

It is an arithmetic number, because the mean of its divisors is an integer number (61851328).

Almost surely, 22162161716 is an apocalyptic number.

2162161716 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 2162161716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968863744).

2162161716 is an abundant number, since it is smaller than the sum of its proper divisors (3775565772).

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

2162161716 is a wasteful number, since it uses less digits than its factorization.

2162161716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2299 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 2162161716 is about 46499.0506999874. The cubic root of 2162161716 is about 1293.0918994955.

It can be divided in two parts, 2162 and 161716, that added together give a triangular number (163878 = T572).

The spelling of 2162161716 in words is "two billion, one hundred sixty-two million, one hundred sixty-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 967 1303 1716 1934 2606 2901 3868 3909 5212 5802 7818 10637 11604 12571 14333 15636 16939 21274 25142 28666 31911 33878 37713 42548 42999 50284 50817 57332 63822 67756 75426 85998 101634 127644 138281 150852 171996 186329 203268 276562 372658 414843 553124 558987 745316 829686 1117974 1260001 1659372 2235948 2520002 3780003 5040004 7560006 13860011 15120012 16380013 27720022 32760026 41580033 49140039 55440044 65520052 83160066 98280078 166320132 180180143 196560156 360360286 540540429 720720572 1081080858 2162161716