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214893744 = 24313521661
BaseRepresentation
bin11001100111100…
…00010010110000
3112222100201210120
430303300102300
5420003044434
633153530240
75216365242
oct1463602260
9488321716
10214893744
1110033593a
125bb73980
13356a0480
142077c092
1513cec349
hexccf04b0

214893744 has 80 divisors (see below), whose sum is σ = 599899104. Its totient is φ = 65894400.

The previous prime is 214893713. The next prime is 214893769. The reversal of 214893744 is 447398412.

It is a junction number, because it is equal to n+sod(n) for n = 214893696 and 214893705.

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, 324774 + ... + 325434.

Almost surely, 2214893744 is an apocalyptic number.

214893744 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 214893744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299949552).

214893744 is an abundant number, since it is smaller than the sum of its proper divisors (385005360).

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

214893744 is a wasteful number, since it uses less digits than its factorization.

214893744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1200 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 214893744 is about 14659.2545513065. The cubic root of 214893744 is about 598.9739352075.

The spelling of 214893744 in words is "two hundred fourteen million, eight hundred ninety-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 521 624 661 1042 1322 1563 1983 2084 2644 3126 3966 4168 5288 6252 6773 7932 8336 8593 10576 12504 13546 15864 17186 20319 25008 25779 27092 31728 34372 40638 51558 54184 68744 81276 103116 108368 137488 162552 206232 325104 344381 412464 688762 1033143 1377524 2066286 2755048 4132572 4476953 5510096 8265144 8953906 13430859 16530288 17907812 26861718 35815624 53723436 71631248 107446872 214893744