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166214022 = 231329197373
BaseRepresentation
bin10011110100000…
…11100110000110
3102120202112202220
421322003212012
5320022322042
624254313210
74055536662
oct1172034606
9376675686
10166214022
1185907067
12477b8806
1328587cc0
14181098a2
15e8d38ec
hex9e83986

166214022 has 64 divisors (see below), whose sum is σ = 373222080. Its totient is φ = 48996864.

The previous prime is 166214021. The next prime is 166214023. The reversal of 166214022 is 220412661.

It is an interprime number because it is at equal distance from previous prime (166214021) and next prime (166214023).

It is a super-2 number, since 2×1662140222 = 55254202218832968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166213983 and 166214001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166214021) 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 31 ways as a sum of consecutive naturals, for example, 445428 + ... + 445800.

It is an arithmetic number, because the mean of its divisors is an integer number (5831595).

Almost surely, 2166214022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166214022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186611040).

166214022 is an abundant number, since it is smaller than the sum of its proper divisors (207008058).

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

166214022 is a wasteful number, since it uses less digits than its factorization.

166214022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 166214022 is about 12892.4017157394. The cubic root of 166214022 is about 549.8225565327.

Adding to 166214022 its reverse (220412661), we get a palindrome (386626683).

The spelling of 166214022 in words is "one hundred sixty-six million, two hundred fourteen thousand, twenty-two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 197 373 377 394 591 746 754 1119 1131 1182 2238 2262 2561 4849 5122 5713 7683 9698 10817 11426 14547 15366 17139 21634 29094 32451 34278 64902 73481 74269 140621 146962 148538 220443 222807 281242 421863 440886 445614 843726 955253 1910506 2130949 2865759 4261898 5731518 6392847 12785694 27702337 55404674 83107011 166214022