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214747412 = 2211223101191
BaseRepresentation
bin11001100110011…
…00100100010100
3112222002022001212
430303030210110
5414433404122
633150440552
75215215515
oct1463144424
9488068055
10214747412
11100245a00
125bb03158
133564b999
1420740a0c
1513cbdce2
hexcccc914

214747412 has 72 divisors (see below), whose sum is σ = 437584896. Its totient is φ = 91960000.

The previous prime is 214747411. The next prime is 214747441.

214747412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2147474122 = 92232901921395488, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214747411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1124237 + ... + 1124427.

It is an arithmetic number, because the mean of its divisors is an integer number (6077568).

Almost surely, 2214747412 is an apocalyptic number.

214747412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214747412 is an abundant number, since it is smaller than the sum of its proper divisors (222837484).

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

214747412 is a wasteful number, since it uses less digits than its factorization.

214747412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 328 counting only the distinct ones).

The product of its digits is 12544, while the sum is 32.

The square root of 214747412 is about 14654.2625880663. The cubic root of 214747412 is about 598.8379471378.

The spelling of 214747412 in words is "two hundred fourteen million, seven hundred forty-seven thousand, four hundred twelve".

Divisors: 1 2 4 11 22 23 44 46 92 101 121 191 202 242 253 382 404 484 506 764 1012 1111 2101 2222 2323 2783 4202 4393 4444 4646 5566 8404 8786 9292 11132 12221 17572 19291 23111 24442 25553 38582 46222 48323 48884 51106 77164 92444 96646 102212 193292 212201 281083 424402 443693 531553 562166 848804 887386 1063106 1124332 1774772 2126212 2334211 4668422 4880623 9336844 9761246 19522492 53686853 107373706 214747412