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214138100 = 225211194671
BaseRepresentation
bin11001100001101…
…11110011110100
3112220221100020202
430300313303310
5414304404400
633125420032
75210100221
oct1460676364
9486840222
10214138100
11aa96a140
125b86a618
1335497547
1420622948
1513bed4d5
hexcc37cf4

214138100 has 36 divisors (see below), whose sum is σ = 506925888. Its totient is φ = 77868000.

The previous prime is 214138033. The next prime is 214138123. The reversal of 214138100 is 1831412.

It is a super-2 number, since 2×2141381002 = 91710251743220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96236 + ... + 98435.

Almost surely, 2214138100 is an apocalyptic number.

214138100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214138100 is an abundant number, since it is smaller than the sum of its proper divisors (292787788).

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

214138100 is a wasteful number, since it uses less digits than its factorization.

214138100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194696 (or 194689 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 214138100 is about 14633.4582378876. The cubic root of 214138100 is about 598.2710411395.

Adding to 214138100 its reverse (1831412), we get a palindrome (215969512).

The spelling of 214138100 in words is "two hundred fourteen million, one hundred thirty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 194671 389342 778684 973355 1946710 2141381 3893420 4282762 4866775 8565524 9733550 10706905 19467100 21413810 42827620 53534525 107069050 214138100