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214400250 = 23353231381
BaseRepresentation
bin11001100011101…
…11110011111010
3112221102122212000
430301313303322
5414341302000
633135201430
75212241421
oct1461676372
9487378760
10214400250
11100029099
125b976276
133555996c
14206902b8
1513c51000
hexcc77cfa

214400250 has 128 divisors (see below), whose sum is σ = 620904960. Its totient is φ = 54648000.

The previous prime is 214400239. The next prime is 214400261. The reversal of 214400250 is 52004412.

214400250 is a `hidden beast` number, since 2 + 14 + 400 + 250 = 666.

It is an interprime number because it is at equal distance from previous prime (214400239) and next prime (214400261).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154560 + ... + 155940.

It is an arithmetic number, because the mean of its divisors is an integer number (4850820).

Almost surely, 2214400250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214400250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310452480).

214400250 is an abundant number, since it is smaller than the sum of its proper divisors (406504710).

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

214400250 is a wasteful number, since it uses less digits than its factorization.

214400250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 214400250 is about 14642.4127110255. The cubic root of 214400250 is about 598.5150780430.

Adding to 214400250 its reverse (52004412), we get a palindrome (266404662).

The spelling of 214400250 in words is "two hundred fourteen million, four hundred thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 90 115 125 135 138 150 207 225 230 250 270 345 375 414 450 575 621 675 690 750 1035 1125 1150 1242 1350 1381 1725 2070 2250 2762 2875 3105 3375 3450 4143 5175 5750 6210 6750 6905 8286 8625 10350 12429 13810 15525 17250 20715 24858 25875 31050 31763 34525 37287 41430 51750 62145 63526 69050 74574 77625 95289 103575 124290 155250 158815 172625 186435 190578 207150 285867 310725 317630 345250 372870 476445 517875 571734 621450 794075 857601 932175 952890 1035750 1429335 1553625 1588150 1715202 1864350 2382225 2858670 3107250 3970375 4288005 4660875 4764450 7146675 7940750 8576010 9321750 11911125 14293350 21440025 23822250 35733375 42880050 71466750 107200125 214400250