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214255530 = 2355372383
BaseRepresentation
bin11001100010101…
…00011110101010
3112221011022100000
430301110132222
5414322134110
633132123430
75211066456
oct1461243652
9487138300
10214255530
11aaa3a395
125b906576
1335508b28
1420653666
1513c231c0
hexcc547aa

214255530 has 96 divisors (see below), whose sum is σ = 593558784. Its totient is φ = 55567296.

The previous prime is 214255499. The next prime is 214255537. The reversal of 214255530 is 35552412.

It is a happy number.

214255530 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 214255494 and 214255503.

It is not an unprimeable number, because it can be changed into a prime (214255537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88719 + ... + 91101.

It is an arithmetic number, because the mean of its divisors is an integer number (6182904).

Almost surely, 2214255530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214255530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296779392).

214255530 is an abundant number, since it is smaller than the sum of its proper divisors (379303254).

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

214255530 is a wasteful number, since it uses less digits than its factorization.

214255530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 214255530 is about 14637.4700682871. The cubic root of 214255530 is about 598.3803819964.

The spelling of 214255530 in words is "two hundred fourteen million, two hundred fifty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 243 270 333 370 405 486 555 666 810 999 1110 1215 1665 1998 2383 2430 2997 3330 4766 4995 5994 7149 8991 9990 11915 14298 14985 17982 21447 23830 29970 35745 42894 44955 64341 71490 88171 89910 107235 128682 176342 193023 214470 264513 321705 386046 440855 529026 579069 643410 793539 881710 965115 1158138 1322565 1587078 1930230 2380617 2645130 2895345 3967695 4761234 5790690 7141851 7935390 11903085 14283702 21425553 23806170 35709255 42851106 71418510 107127765 214255530