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164455500 = 22353119967
BaseRepresentation
bin10011100110101…
…10010001001100
3102110110012112110
421303112101030
5314100034000
624152504020
74034564046
oct1163262114
9373405473
10164455500
1184915940
12470ab010
13280c0761
1417baca96
15e687850
hex9cd644c

164455500 has 96 divisors (see below), whose sum is σ = 522482688. Its totient is φ = 39864000.

The previous prime is 164455483. The next prime is 164455547. The reversal of 164455500 is 5554461.

It is a super-2 number, since 2×1644555002 = 54091222960500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 11517 + ... + 21483.

It is an arithmetic number, because the mean of its divisors is an integer number (5442528).

Almost surely, 2164455500 is an apocalyptic number.

164455500 is a gapful number since it is divisible by the number (10) 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 164455500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261241344).

164455500 is an abundant number, since it is smaller than the sum of its proper divisors (358027188).

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

164455500 is a wasteful number, since it uses less digits than its factorization.

164455500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10000 (or 9988 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 164455500 is about 12824.0204304266. The cubic root of 164455500 is about 547.8766616415.

It can be divided in two parts, 16445 and 5500, that added together give a triangular number (21945 = T209).

The spelling of 164455500 in words is "one hundred sixty-four million, four hundred fifty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 125 132 150 165 220 250 275 300 330 375 500 550 660 750 825 1100 1375 1500 1650 2750 3300 4125 5500 8250 9967 16500 19934 29901 39868 49835 59802 99670 109637 119604 149505 199340 219274 249175 299010 328911 438548 498350 548185 598020 657822 747525 996700 1096370 1245875 1315644 1495050 1644555 2192740 2491750 2740925 2990100 3289110 3737625 4983500 5481850 6578220 7475250 8222775 10963700 13704625 14950500 16445550 27409250 32891100 41113875 54818500 82227750 164455500