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164729214 = 237132897
BaseRepresentation
bin10011101000110…
…01000101111110
3102110222010000000
421310121011332
5314132313324
624202415130
74040114046
oct1164310576
9373863000
10164729214
1184a92551
12472014a6
1328188210
1417c40726
15e6dd9c9
hex9d1917e

164729214 has 64 divisors (see below), whose sum is σ = 399228480. Its totient is φ = 50668416.

The previous prime is 164729209. The next prime is 164729231. The reversal of 164729214 is 412927461.

It is a happy number.

164729214 is a `hidden beast` number, since 1 + 647 + 2 + 9 + 2 + 1 + 4 = 666.

It is a Curzon number.

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, 55414 + ... + 58310.

It is an arithmetic number, because the mean of its divisors is an integer number (6237945).

Almost surely, 2164729214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164729214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199614240).

164729214 is an abundant number, since it is smaller than the sum of its proper divisors (234499266).

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

164729214 is an equidigital number, since it uses as much as digits as its factorization.

164729214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2915 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 164729214 is about 12834.6879198522. The cubic root of 164729214 is about 548.1804487703.

The spelling of 164729214 in words is "one hundred sixty-four million, seven hundred twenty-nine thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 2106 2187 2897 3159 4374 5794 6318 8691 9477 17382 18954 26073 28431 37661 52146 56862 75322 78219 112983 156438 225966 234657 338949 469314 677898 703971 1016847 1407942 2033694 2111913 3050541 4223826 6101082 6335739 9151623 12671478 18303246 27454869 54909738 82364607 164729214