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214472424 = 233233710501
BaseRepresentation
bin11001100100010…
…01011011101000
3112221120022212010
430302021123220
5414401104144
633140515520
75212662015
oct1462113350
9487508763
10214472424
11100078341
125b9abba0
133558377a
14206ac70c
1513c675b9
hexcc896e8

214472424 has 64 divisors (see below), whose sum is σ = 574669440. Its totient is φ = 66528000.

The previous prime is 214472351. The next prime is 214472441. The reversal of 214472424 is 424274412.

It is a junction number, because it is equal to n+sod(n) for n = 214472391 and 214472400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15174 + ... + 25674.

It is an arithmetic number, because the mean of its divisors is an integer number (8979210).

Almost surely, 2214472424 is an apocalyptic number.

214472424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214472424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287334720).

214472424 is an abundant number, since it is smaller than the sum of its proper divisors (360197016).

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

214472424 is a wasteful number, since it uses less digits than its factorization.

214472424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10570 (or 10566 counting only the distinct ones).

The product of its digits is 14336, while the sum is 30.

The square root of 214472424 is about 14644.8770565000. The cubic root of 214472424 is about 598.5822302983.

It can be divided in two parts, 21447 and 2424, that added together give a triangular number (23871 = T218).

The spelling of 214472424 in words is "two hundred fourteen million, four hundred seventy-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 111 138 148 184 222 276 296 444 552 851 888 1702 2553 3404 5106 6808 10212 10501 20424 21002 31503 42004 63006 84008 126012 241523 252024 388537 483046 724569 777074 966092 1165611 1449138 1554148 1932184 2331222 2898276 3108296 4662444 5796552 8936351 9324888 17872702 26809053 35745404 53618106 71490808 107236212 214472424