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214741240 = 23574391747
BaseRepresentation
bin11001100110010…
…11000011111000
3112222001222121021
430303023003320
5414433204430
633150352224
75215161520
oct1463130370
9488058537
10214741240
111002412aa
125babb674
1335648c2c
142073c680
1513cbc07a
hexcccb0f8

214741240 has 64 divisors (see below), whose sum is σ = 553766400. Its totient is φ = 73415808.

The previous prime is 214741237. The next prime is 214741243. The reversal of 214741240 is 42147412.

214741240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214741237) and next prime (214741243).

It is a super-2 number, since 2×2147412402 = 92227600313475200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214741243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122047 + ... + 123793.

It is an arithmetic number, because the mean of its divisors is an integer number (8652600).

Almost surely, 2214741240 is an apocalyptic number.

214741240 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 214741240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276883200).

214741240 is an abundant number, since it is smaller than the sum of its proper divisors (339025160).

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

214741240 is a wasteful number, since it uses less digits than its factorization.

214741240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 214741240 is about 14654.0519993618. The cubic root of 214741240 is about 598.8322100672.

Adding to 214741240 its reverse (42147412), we get a palindrome (256888652).

The spelling of 214741240 in words is "two hundred fourteen million, seven hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 439 878 1747 1756 2195 3073 3494 3512 4390 6146 6988 8735 8780 12229 12292 13976 15365 17470 17560 24458 24584 30730 34940 48916 61145 61460 69880 97832 122290 122920 244580 489160 766933 1533866 3067732 3834665 5368531 6135464 7669330 10737062 15338660 21474124 26842655 30677320 42948248 53685310 107370620 214741240