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214190640 = 24325297487
BaseRepresentation
bin11001100010001…
…00101000110000
3112221001000022200
430301010220300
5414313100030
633130503200
75210406336
oct1461045060
9487030280
10214190640
11aa9a5664
125b894b00
13354b5431
1420637b56
1513c0dd60
hexcc44a30

214190640 has 60 divisors (see below), whose sum is σ = 719325984. Its totient is φ = 57117312.

The previous prime is 214190623. The next prime is 214190653. The reversal of 214190640 is 46091412.

214190640 is a `hidden beast` number, since 2 + 1 + 4 + 19 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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, 148024 + ... + 149463.

Almost surely, 2214190640 is an apocalyptic number.

214190640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214190640 is an abundant number, since it is smaller than the sum of its proper divisors (505135344).

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

214190640 is a wasteful number, since it uses less digits than its factorization.

214190640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297506 (or 297497 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 214190640 is about 14635.2533288632. The cubic root of 214190640 is about 598.3199668718.

The spelling of 214190640 in words is "two hundred fourteen million, one hundred ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 297487 594974 892461 1189948 1487435 1784922 2379896 2677383 2974870 3569844 4462305 4759792 5354766 5949740 7139688 8924610 10709532 11899480 13386915 14279376 17849220 21419064 23798960 26773830 35698440 42838128 53547660 71396880 107095320 214190640