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214111430 = 251317241139
BaseRepresentation
bin11001100001100…
…01010011000110
3112220212222122222
430300301103012
5414303031210
633125052342
75206626401
oct1460612306
9486788588
10214111430
11aa9510a5
125b8570b2
1335488370
1420616d38
1513be5655
hexcc314c6

214111430 has 96 divisors (see below), whose sum is σ = 454900320. Its totient is φ = 72069120.

The previous prime is 214111427. The next prime is 214111477. The reversal of 214111430 is 34111412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 214111399 and 214111408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1540301 + ... + 1540439.

It is an arithmetic number, because the mean of its divisors is an integer number (4738545).

Almost surely, 2214111430 is an apocalyptic number.

214111430 is an abundant number, since it is smaller than the sum of its proper divisors (240788890).

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

214111430 is a wasteful number, since it uses less digits than its factorization.

214111430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 214111430 is about 14632.5469416640. The cubic root of 214111430 is about 598.2462027274.

Adding to 214111430 its reverse (34111412), we get a palindrome (248222842).

The spelling of 214111430 in words is "two hundred fourteen million, one hundred eleven thousand, four hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 41 65 82 85 130 139 170 205 221 278 289 410 442 533 578 695 697 1066 1105 1390 1394 1445 1807 2210 2363 2665 2890 3485 3614 3757 4726 5330 5699 6970 7514 9035 9061 11398 11815 11849 18070 18122 18785 23630 23698 28495 30719 37570 40171 45305 56990 59245 61438 74087 80342 90610 96883 118490 148174 153595 154037 193766 200855 307190 308074 370435 401710 484415 522223 740870 770185 968830 1044446 1259479 1540370 1647011 2518958 2611115 3294022 5222230 6297395 8235055 12594790 16470110 21411143 42822286 107055715 214111430