Search a number
-
+
214960944 = 243112331571
BaseRepresentation
bin11001101000000…
…00101100110000
3112222111010222110
430310000230300
5420012222234
633155205320
75220065202
oct1464005460
9488433873
10214960944
11100381380
125bba6840
13356c4c33
1420798772
1513d121e9
hexcd00b30

214960944 has 160 divisors (see below), whose sum is σ = 653672448. Its totient is φ = 60192000.

The previous prime is 214960931. The next prime is 214960957. The reversal of 214960944 is 449069412.

It is an interprime number because it is at equal distance from previous prime (214960931) and next prime (214960957).

It is a super-2 number, since 2×2149609442 = 92416414890742272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376179 + ... + 376749.

Almost surely, 2214960944 is an apocalyptic number.

214960944 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 214960944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326836224).

214960944 is an abundant number, since it is smaller than the sum of its proper divisors (438711504).

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

214960944 is a wasteful number, since it uses less digits than its factorization.

214960944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 214960944 is about 14661.5464395813. The cubic root of 214960944 is about 599.0363642833.

The spelling of 214960944 in words is "two hundred fourteen million, nine hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 31 33 44 46 48 62 66 69 88 92 93 124 132 138 176 184 186 248 253 264 276 341 368 372 496 506 528 552 571 682 713 744 759 1012 1023 1104 1142 1364 1426 1488 1518 1713 2024 2046 2139 2284 2728 2852 3036 3426 4048 4092 4278 4568 5456 5704 6072 6281 6852 7843 8184 8556 9136 11408 12144 12562 13133 13704 15686 16368 17112 17701 18843 23529 25124 26266 27408 31372 34224 35402 37686 39399 47058 50248 52532 53103 62744 70804 75372 78798 94116 100496 105064 106206 125488 141608 144463 150744 157596 188232 194711 210128 212412 283216 288926 301488 315192 376464 389422 407123 424824 433389 577852 584133 630384 778844 814246 849648 866778 1155704 1168266 1221369 1557688 1628492 1733556 2311408 2336532 2442738 3115376 3256984 3467112 4478353 4673064 4885476 6513968 6934224 8956706 9346128 9770952 13435059 17913412 19541904 26870118 35826824 53740236 71653648 107480472 214960944