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214028864 = 2672139491
BaseRepresentation
bin11001100000111…
…01001001000000
3112220201210101222
430300131021000
5414242410424
633123214212
75206133600
oct1460351100
9486653358
10214028864
11aa8a5065
125b817368
13354598ca
14205d4c00
1513bcae5e
hexcc1d240

214028864 has 84 divisors (see below), whose sum is σ = 498622320. Its totient is φ = 90881280.

The previous prime is 214028839. The next prime is 214028873. The reversal of 214028864 is 468820412.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435659 + ... + 436149.

It is an arithmetic number, because the mean of its divisors is an integer number (5935980).

Almost surely, 2214028864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214028864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249311160).

214028864 is an abundant number, since it is smaller than the sum of its proper divisors (284593456).

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

214028864 is a wasteful number, since it uses less digits than its factorization.

214028864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 214028864 is about 14629.7253562738. The cubic root of 214028864 is about 598.1692939474.

The spelling of 214028864 in words is "two hundred fourteen million, twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 139 196 224 278 392 448 491 556 784 973 982 1112 1568 1946 1964 2224 3136 3437 3892 3928 4448 6811 6874 7784 7856 8896 13622 13748 15568 15712 24059 27244 27496 31136 31424 48118 54488 54992 62272 68249 96236 108976 109984 136498 192472 217952 219968 272996 384944 435904 477743 545992 769888 955486 1091984 1539776 1910972 2183968 3344201 3821944 4367936 6688402 7643888 13376804 15287776 26753608 30575552 53507216 107014432 214028864