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214230740 = 225233741307
BaseRepresentation
bin11001100010011…
…10011011010100
3112221010001022212
430301032123110
5414320340430
633131412552
75210634263
oct1461163324
9487101285
10214230740
11aaa227a9
125b8b4158
13354ca769
14206485da
1513c1ab95
hexcc4e6d4

214230740 has 96 divisors (see below), whose sum is σ = 495500544. Its totient is φ = 77552640.

The previous prime is 214230727. The next prime is 214230749. The reversal of 214230740 is 47032412.

214230740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214230749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697667 + ... + 697973.

It is an arithmetic number, because the mean of its divisors is an integer number (5161464).

Almost surely, 2214230740 is an apocalyptic number.

214230740 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 214230740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247750272).

214230740 is an abundant number, since it is smaller than the sum of its proper divisors (281269804).

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

214230740 is a wasteful number, since it uses less digits than its factorization.

214230740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 214230740 is about 14636.6232444509. The cubic root of 214230740 is about 598.3573029782.

The spelling of 214230740 in words is "two hundred fourteen million, two hundred thirty thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 23 37 41 46 74 82 92 115 148 164 185 205 230 307 370 410 460 614 740 820 851 943 1228 1517 1535 1702 1886 3034 3070 3404 3772 4255 4715 6068 6140 7061 7585 8510 9430 11359 12587 14122 15170 17020 18860 22718 25174 28244 30340 34891 35305 45436 50348 56795 62935 69782 70610 113590 125870 139564 141220 174455 227180 251740 261257 289501 348910 465719 522514 579002 697820 931438 1045028 1158004 1306285 1447505 1862876 2328595 2612570 2895010 4657190 5225140 5790020 9314380 10711537 21423074 42846148 53557685 107115370 214230740