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168164424 = 23341391867
BaseRepresentation
bin10100000010111…
…11110001001000
3102201102122020000
422001133301020
5321022230144
624404203000
74111242201
oct1201376110
9381378200
10168164424
1186a1946a
1248399460
1328abb99c
14184965a8
15eb6b769
hexa05fc48

168164424 has 80 divisors (see below), whose sum is σ = 474658800. Its totient is φ = 55621728.

The previous prime is 168164407. The next prime is 168164461. The reversal of 168164424 is 424461861.

It is a happy number.

168164424 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 644 + 2 + 4 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 89139 + ... + 91005.

It is an arithmetic number, because the mean of its divisors is an integer number (5933235).

Almost surely, 2168164424 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 168164424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237329400).

168164424 is an abundant number, since it is smaller than the sum of its proper divisors (306494376).

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

168164424 is a wasteful number, since it uses less digits than its factorization.

168164424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2011 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 168164424 is about 12967.8226391326. The cubic root of 168164424 is about 551.9647898146.

The spelling of 168164424 in words is "one hundred sixty-eight million, one hundred sixty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 139 162 216 278 324 417 556 648 834 1112 1251 1668 1867 2502 3336 3734 3753 5004 5601 7468 7506 10008 11202 11259 14936 15012 16803 22404 22518 30024 33606 44808 45036 50409 67212 90072 100818 134424 151227 201636 259513 302454 403272 519026 604908 778539 1038052 1209816 1557078 2076104 2335617 3114156 4671234 6228312 7006851 9342468 14013702 18684936 21020553 28027404 42041106 56054808 84082212 168164424