[go: up one dir, main page]

Search a number
-
+
214616400 = 24352199413
BaseRepresentation
bin11001100101011…
…00100101010000
3112221211122100120
430302230211100
5414420211100
633143550240
75214131535
oct1462544520
9487748316
10214616400
11100166529
125ba5b380
133560416b
1420708d8c
1513c950a0
hexccac950

214616400 has 120 divisors (see below), whose sum is σ = 723748320. Its totient is φ = 54213120.

The previous prime is 214616399. The next prime is 214616401. The reversal of 214616400 is 4616412.

It is an interprime number because it is at equal distance from previous prime (214616399) and next prime (214616401).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214616401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18094 + ... + 27506.

It is an arithmetic number, because the mean of its divisors is an integer number (6031236).

Almost surely, 2214616400 is an apocalyptic number.

214616400 is a gapful number since it is divisible by the number (20) 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 214616400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361874160).

214616400 is an abundant number, since it is smaller than the sum of its proper divisors (509131920).

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

214616400 is a wasteful number, since it uses less digits than its factorization.

214616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9453 (or 9442 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 214616400 is about 14649.7918073944. The cubic root of 214616400 is about 598.7161437033.

The spelling of 214616400 in words is "two hundred fourteen million, six hundred sixteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 9413 11400 18826 22800 28239 37652 47065 56478 75304 94130 112956 141195 150608 178847 188260 225912 235325 282390 357694 376520 451824 470650 536541 564780 705975 715388 753040 894235 941300 1073082 1129560 1411950 1430776 1788470 1882600 2146164 2259120 2682705 2823900 2861552 3576940 3765200 4292328 4471175 5365410 5647800 7153880 8584656 8942350 10730820 11295600 13413525 14307760 17884700 21461640 26827050 35769400 42923280 53654100 71538800 107308200 214616400