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16214000 = 245311267
BaseRepresentation
bin111101110110…
…011111110000
31010111202102112
4331312133300
513122322000
61335304452
7254550065
oct75663760
933452375
1016214000
119174900
12551b128
1334890aa
142220c6c
151654235
hexf767f0

16214000 has 120 divisors (see below), whose sum is σ = 43736784. Its totient is φ = 5808000.

The previous prime is 16213997. The next prime is 16214017. The reversal of 16214000 is 41261.

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, 241967 + ... + 242033.

Almost surely, 216214000 is an apocalyptic number.

16214000 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 16214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21868392).

16214000 is an abundant number, since it is smaller than the sum of its proper divisors (27522784).

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

16214000 is a wasteful number, since it uses less digits than its factorization.

16214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 16214000 is about 4026.6611478991. The cubic root of 16214000 is about 253.1026678464.

Adding to 16214000 its reverse (41261), we get a palindrome (16255261).

The spelling of 16214000 in words is "sixteen million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 67 80 88 100 110 121 125 134 176 200 220 242 250 268 275 335 400 440 484 500 536 550 605 670 737 880 968 1000 1072 1100 1210 1340 1375 1474 1675 1936 2000 2200 2420 2680 2750 2948 3025 3350 3685 4400 4840 5360 5500 5896 6050 6700 7370 8107 8375 9680 11000 11792 12100 13400 14740 15125 16214 16750 18425 22000 24200 26800 29480 30250 32428 33500 36850 40535 48400 58960 60500 64856 67000 73700 81070 92125 121000 129712 134000 147400 162140 184250 202675 242000 294800 324280 368500 405350 648560 737000 810700 1013375 1474000 1621400 2026750 3242800 4053500 8107000 16214000