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214030420 = 225131151541
BaseRepresentation
bin11001100000111…
…01100001010100
3112220201212112121
430300131201110
5414242433140
633123225324
75206141252
oct1460354124
9486655477
10214030420
11aa8a624a
125b818244
133545a526
14205d55d2
1513bcb64a
hexcc1d854

214030420 has 48 divisors (see below), whose sum is σ = 456736896. Its totient is φ = 84240000.

The previous prime is 214030409. The next prime is 214030441. The reversal of 214030420 is 24030412.

It is a junction number, because it is equal to n+sod(n) for n = 214030394 and 214030403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395350 + ... + 395890.

It is an arithmetic number, because the mean of its divisors is an integer number (9515352).

Almost surely, 2214030420 is an apocalyptic number.

214030420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214030420 is an abundant number, since it is smaller than the sum of its proper divisors (242706476).

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

214030420 is a wasteful number, since it uses less digits than its factorization.

214030420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 214030420 is about 14629.7785355760. The cubic root of 214030420 is about 598.1707435170.

Adding to 214030420 its reverse (24030412), we get a palindrome (238060832).

The spelling of 214030420 in words is "two hundred fourteen million, thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 131 151 262 302 524 541 604 655 755 1082 1310 1510 2164 2620 2705 3020 5410 10820 19781 39562 70871 79124 81691 98905 141742 163382 197810 283484 326764 354355 395620 408455 708710 816910 1417420 1633820 10701521 21403042 42806084 53507605 107015210 214030420