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162166644 = 22334153691
BaseRepresentation
bin10011010101001…
…11011101110100
3102022010220211000
421222213131310
5313003313034
624031443300
74006252023
oct1152473564
9368126730
10162166644
11835a2222
1246386530
132779b9c3
14177748ba
15e384599
hex9aa7774

162166644 has 96 divisors (see below), whose sum is σ = 439447680. Its totient is φ = 51667200.

The previous prime is 162166643. The next prime is 162166649. The reversal of 162166644 is 446661261.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 162166599 and 162166608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162166643) 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, 234339 + ... + 235029.

It is an arithmetic number, because the mean of its divisors is an integer number (4577580).

Almost surely, 2162166644 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 162166644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219723840).

162166644 is an abundant number, since it is smaller than the sum of its proper divisors (277281036).

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

162166644 is a wasteful number, since it uses less digits than its factorization.

162166644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 790 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 162166644 is about 12734.4667732889. The cubic root of 162166644 is about 545.3230349314.

It can be divided in two parts, 1621 and 66644, that added together give a triangular number (68265 = T369).

The spelling of 162166644 in words is "one hundred sixty-two million, one hundred sixty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 53 54 82 106 108 123 159 164 212 246 318 369 477 492 636 691 738 954 1107 1382 1431 1476 1908 2073 2173 2214 2764 2862 4146 4346 4428 5724 6219 6519 8292 8692 12438 13038 18657 19557 24876 26076 28331 36623 37314 39114 56662 58671 73246 74628 78228 84993 109869 113324 117342 146492 169986 219738 234684 254979 329607 339972 439476 509958 659214 764937 988821 1019916 1318428 1501543 1529874 1977642 3003086 3059748 3955284 4504629 6006172 9009258 13513887 18018516 27027774 40541661 54055548 81083322 162166644