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214917236430 = 235137110176847
BaseRepresentation
bin1100100000101000010…
…0001100011011001110
3202112201221200210220120
43020022010030123032
512010122303031210
6242422010125410
721345564240141
oct3101204143316
9675657623816
10214917236430
11831671a4776
123579b420866
131736097acb0
14a58b320058
1558ccd8b270
hex320a10c6ce

214917236430 has 128 divisors (see below), whose sum is σ = 568886685696. Its totient is φ = 51640512000.

The previous prime is 214917236419. The next prime is 214917236431. The reversal of 214917236430 is 34632719412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214917236431) 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, 2758267 + ... + 2835113.

It is an arithmetic number, because the mean of its divisors is an integer number (4444427232).

Almost surely, 2214917236430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214917236430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284443342848).

214917236430 is an abundant number, since it is smaller than the sum of its proper divisors (353969449266).

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

214917236430 is a wasteful number, since it uses less digits than its factorization.

214917236430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77042.

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 214917236430 in words is "two hundred fourteen billion, nine hundred seventeen million, two hundred thirty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 71 78 101 130 142 195 202 213 303 355 390 426 505 606 710 923 1010 1065 1313 1515 1846 2130 2626 2769 3030 3939 4615 5538 6565 7171 7878 9230 13130 13845 14342 19695 21513 27690 35855 39390 43026 71710 76847 93223 107565 153694 186446 215130 230541 279669 384235 461082 466115 559338 768470 932230 999011 1152705 1398345 1998022 2305410 2796690 2997033 4995055 5456137 5994066 7761547 9990110 10912274 14985165 15523094 16368411 23284641 27280685 29970330 32736822 38807735 46569282 54561370 70929781 77615470 81842055 100900111 116423205 141859562 163684110 201800222 212789343 232846410 302700333 354648905 425578686 504500555 551069837 605400666 709297810 1009001110 1063946715 1102139674 1513501665 1653209511 2127893430 2755349185 3027003330 3306419022 5510698370 7163907881 8266047555 14327815762 16532095110 21491723643 35819539405 42983447286 71639078810 107458618215 214917236430