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214728150 = 235271315731
BaseRepresentation
bin11001100110001…
…11110111010110
3112222001022122110
430303013313112
5414432300100
633150211450
75215105410
oct1463076726
9488038573
10214728150
1110023248a
125bab3b86
1335642ca0
14207379b0
1513cb8250
hexccc7dd6

214728150 has 96 divisors (see below), whose sum is σ = 655458048. Its totient is φ = 45302400.

The previous prime is 214728149. The next prime is 214728167. The reversal of 214728150 is 51827412.

It is a super-2 number, since 2×2147281502 = 92216356804845000, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5785 + ... + 21515.

It is an arithmetic number, because the mean of its divisors is an integer number (6827688).

Almost surely, 2214728150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214728150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327729024).

214728150 is an abundant number, since it is smaller than the sum of its proper divisors (440729898).

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

214728150 is a wasteful number, since it uses less digits than its factorization.

214728150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15766 (or 15761 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 214728150 is about 14653.6053584092. The cubic root of 214728150 is about 598.8200421313.

The spelling of 214728150 in words is "two hundred fourteen million, seven hundred twenty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 130 150 175 182 195 210 273 325 350 390 455 525 546 650 910 975 1050 1365 1950 2275 2730 4550 6825 13650 15731 31462 47193 78655 94386 110117 157310 204503 220234 235965 330351 393275 409006 471930 550585 613509 660702 786550 1022515 1101170 1179825 1227018 1431521 1651755 2045030 2359650 2752925 2863042 3067545 3303510 4294563 5112575 5505850 6135090 7157605 8258775 8589126 10225150 14315210 15337725 16517550 21472815 30675450 35788025 42945630 71576050 107364075 214728150