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214230042 = 233134347151
BaseRepresentation
bin11001100010011…
…10010000011010
3112221010000101000
430301032100122
5414320330132
633131405430
75210632245
oct1461162032
9487100330
10214230042
11aaa22224
125b8b3876
13354ca350
142064825c
1513c1a87c
hexcc4e41a

214230042 has 128 divisors (see below), whose sum is σ = 539320320. Its totient is φ = 62596800.

The previous prime is 214230041. The next prime is 214230053. The reversal of 214230042 is 240032412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 214229997 and 214230024.

It is not an unprimeable number, because it can be changed into a prime (214230041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1418667 + ... + 1418817.

It is an arithmetic number, because the mean of its divisors is an integer number (4213440).

Almost surely, 2214230042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214230042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269660160).

214230042 is an abundant number, since it is smaller than the sum of its proper divisors (325090278).

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

214230042 is a wasteful number, since it uses less digits than its factorization.

214230042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 214230042 is about 14636.5994001339. The cubic root of 214230042 is about 598.3566531277.

Adding to 214230042 its reverse (240032412), we get a palindrome (454262454).

The spelling of 214230042 in words is "two hundred fourteen million, two hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 47 54 78 86 94 117 129 141 151 234 258 282 302 351 387 423 453 559 611 702 774 846 906 1118 1161 1222 1269 1359 1677 1833 1963 2021 2322 2538 2718 3354 3666 3926 4042 4077 5031 5499 5889 6063 6493 7097 8154 10062 10998 11778 12126 12986 14194 15093 16497 17667 18189 19479 21291 26273 30186 32994 35334 36378 38958 42582 52546 53001 54567 58437 63873 78819 84409 92261 106002 109134 116874 127746 157638 168818 175311 184522 191619 236457 253227 276783 305171 350622 383238 472914 506454 553566 610342 709371 759681 830349 915513 1418742 1519362 1660698 1831026 2279043 2491047 2746539 3967223 4558086 4982094 5493078 7934446 8239617 11901669 16479234 23803338 35705007 71410014 107115021 214230042