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214741340 = 225112331372
BaseRepresentation
bin11001100110010…
…11000101011100
3112222001222201222
430303023011130
5414433210330
633150352512
75215162022
oct1463130534
9488058658
10214741340
11100241390
125babb738
1335648ca8
142073c712
1513cbc0e5
hexcccb15c

214741340 has 144 divisors (see below), whose sum is σ = 544610304. Its totient is φ = 70329600.

The previous prime is 214741327. The next prime is 214741349. The reversal of 214741340 is 43147412.

214741340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2147413402 = 92227686209991200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214741349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5803802 + ... + 5803838.

It is an arithmetic number, because the mean of its divisors is an integer number (3782016).

Almost surely, 2214741340 is an apocalyptic number.

214741340 is a gapful number since it is divisible by the number (20) 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 214741340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272305152).

214741340 is an abundant number, since it is smaller than the sum of its proper divisors (329868964).

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

214741340 is a wasteful number, since it uses less digits than its factorization.

214741340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 214741340 is about 14654.0554113870. The cubic root of 214741340 is about 598.8323030213.

Adding to 214741340 its reverse (43147412), we get a palindrome (257888752).

The spelling of 214741340 in words is "two hundred fourteen million, seven hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 31 37 44 46 55 62 74 92 110 115 124 148 155 185 220 230 253 310 341 370 407 460 506 620 682 713 740 814 851 1012 1147 1265 1364 1369 1426 1628 1702 1705 2035 2294 2530 2738 2852 3404 3410 3565 4070 4255 4588 5060 5476 5735 6820 6845 7130 7843 8140 8510 9361 11470 12617 13690 14260 15059 15686 17020 18722 22940 25234 26381 27380 30118 31372 31487 37444 39215 42439 46805 50468 52762 60236 62974 63085 75295 78430 84878 93610 105524 125948 126170 131905 150590 156860 157435 169756 187220 212195 252340 263810 290191 301180 314870 346357 424390 466829 527620 580382 629740 692714 848780 933658 976097 1160764 1385428 1450955 1731785 1867316 1952194 2334145 2901910 3463570 3904388 4668290 4880485 5803820 6927140 9336580 9760970 10737067 19521940 21474134 42948268 53685335 107370670 214741340