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214422201 = 3371929271
BaseRepresentation
bin11001100011111…
…01001010111001
3112221110202222000
430301331022321
5414343002301
633135451213
75212362420
oct1461751271
9487422860
10214422201
11100043634
125b986b09
1335566956
14206982b7
1513c57786
hexcc7d2b9

214422201 has 96 divisors (see below), whose sum is σ = 401356800. Its totient is φ = 110496960.

The previous prime is 214422199. The next prime is 214422203. The reversal of 214422201 is 102224412.

214422201 is a `hidden beast` number, since 2 + 1 + 442 + 220 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (214422199) and next prime (214422203).

It is not a de Polignac number, because 214422201 - 21 = 214422199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214422203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3019996 + ... + 3020066.

It is an arithmetic number, because the mean of its divisors is an integer number (4180800).

Almost surely, 2214422201 is an apocalyptic number.

214422201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214422201 is a deficient number, since it is larger than the sum of its proper divisors (186934599).

214422201 is a wasteful number, since it uses less digits than its factorization.

214422201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 214422201 is about 14643.1622609326. The cubic root of 214422201 is about 598.5355033241.

Adding to 214422201 its reverse (102224412), we get a palindrome (316646613).

The spelling of 214422201 in words is "two hundred fourteen million, four hundred twenty-two thousand, two hundred one".

Divisors: 1 3 7 9 19 21 27 29 57 63 71 87 133 171 189 203 213 261 399 497 513 551 609 639 783 841 1197 1349 1491 1653 1827 1917 2059 2523 3591 3857 4047 4473 4959 5481 5887 6177 7569 9443 11571 12141 13419 14413 14877 15979 17661 18531 22707 28329 34713 36423 39121 43239 47937 52983 55593 59711 84987 104139 111853 117363 129717 143811 158949 179133 254961 273847 335559 352089 389151 417977 431433 537399 821541 1006677 1056267 1134509 1253931 1612197 2464623 3020031 3403527 3761793 7393869 7941563 10210581 11285379 23824689 30631743 71474067 214422201