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164550000 = 243551097
BaseRepresentation
bin10011100111011…
…01010101110000
3102110122000011110
421303231111300
5314111100000
624154513320
74035436416
oct1163552560
9373560143
10164550000
118497a93a
1247135840
1328124784
1417bd52b6
15e6a5850
hex9ced570

164550000 has 120 divisors (see below), whose sum is σ = 531809712. Its totient is φ = 43840000.

The previous prime is 164549977. The next prime is 164550049. The reversal of 164550000 is 55461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149452 + ... + 150548.

Almost surely, 2164550000 is an apocalyptic number.

164550000 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 164550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265904856).

164550000 is an abundant number, since it is smaller than the sum of its proper divisors (367259712).

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

164550000 is an equidigital number, since it uses as much as digits as its factorization.

164550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 164550000 is about 12827.7043932264. The cubic root of 164550000 is about 547.9815824879.

The spelling of 164550000 in words is "one hundred sixty-four million, five hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1097 1200 1250 1500 1875 2000 2194 2500 3000 3125 3291 3750 4388 5000 5485 6000 6250 6582 7500 8776 9375 10000 10970 12500 13164 15000 16455 17552 18750 21940 25000 26328 27425 30000 32910 37500 43880 50000 52656 54850 65820 75000 82275 87760 109700 131640 137125 150000 164550 219400 263280 274250 329100 411375 438800 548500 658200 685625 822750 1097000 1316400 1371250 1645500 2056875 2194000 2742500 3291000 3428125 4113750 5485000 6582000 6856250 8227500 10284375 10970000 13712500 16455000 20568750 27425000 32910000 41137500 54850000 82275000 164550000