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214923456 = 2634113769
BaseRepresentation
bin11001100111101…
…11100011000000
3112222102020120000
430303313203000
5420010022311
633154320000
75216550666
oct1463674300
9488366500
10214923456
111003561a0
125bb89000
13356b0b57
1420788c36
1513d06056
hexccf78c0

214923456 has 140 divisors (see below), whose sum is σ = 695203080. Its totient is φ = 65111040.

The previous prime is 214923451. The next prime is 214923473. The reversal of 214923456 is 654329412.

It is a happy number.

214923456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 214923456.

It is not an unprimeable number, because it can be changed into a prime (214923451) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55140 + ... + 58908.

Almost surely, 2214923456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214923456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347601540).

214923456 is an abundant number, since it is smaller than the sum of its proper divisors (480279624).

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

214923456 is a wasteful number, since it uses less digits than its factorization.

214923456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804 (or 3785 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 214923456 is about 14660.2679375242. The cubic root of 214923456 is about 599.0015393823.

The spelling of 214923456 in words is "two hundred fourteen million, nine hundred twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 3769 4752 5184 6336 7128 7538 9504 11307 14256 15076 19008 22614 28512 30152 33921 41459 45228 57024 60304 67842 82918 90456 101763 120608 124377 135684 165836 180912 203526 241216 248754 271368 305289 331672 361824 373131 407052 497508 542736 610578 663344 723648 746262 814104 995016 1085472 1119393 1221156 1326688 1492524 1628208 1990032 2170944 2238786 2442312 2653376 2985048 3256416 3358179 3980064 4477572 4884624 5970096 6512832 6716358 7960128 8955144 9769248 11940192 13432716 17910288 19538496 23880384 26865432 35820576 53730864 71641152 107461728 214923456