Search a number
-
+
214246123000 = 23537132354353
BaseRepresentation
bin1100011110001000010…
…0000110010111111000
3202111000011212201100121
43013202010012113320
512002234001414000
6242231233543024
721323134666210
oct3074204062770
9674004781317
10214246123000
1182952395278
1235632714a74
1317284913b60
14a526145240
15588dec2b1a
hex31e21065f8

214246123000 has 128 divisors (see below), whose sum is σ = 617029096320. Its totient is φ = 67805337600.

The previous prime is 214246122991. The next prime is 214246123037. The reversal of 214246123000 is 321642412.

It is a happy number.

It is a super-2 number, since 2×2142461230002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086177 + ... + 1268176.

It is an arithmetic number, because the mean of its divisors is an integer number (4820539815).

Almost surely, 2214246123000 is an apocalyptic number.

214246123000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214246123000 is an abundant number, since it is smaller than the sum of its proper divisors (402782973320).

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

214246123000 is a wasteful number, since it uses less digits than its factorization.

214246123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354394 (or 2354380 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 214246123000 its reverse (321642412), we get a palindrome (214567765412).

The spelling of 214246123000 in words is "two hundred fourteen billion, two hundred forty-six million, one hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 13000 18200 22750 45500 91000 2354353 4708706 9417412 11771765 16480471 18834824 23543530 30606589 32960942 47087060 58858825 61213178 65921884 82402355 94174120 117717650 122426356 131843768 153032945 164804710 214246123 235435300 244852712 294294125 306065890 329609420 412011775 428492246 470870600 588588250 612131780 659218840 765164725 824023550 856984492 1071230615 1177176500 1224263560 1530329450 1648047100 1713968984 2060058875 2142461230 2354353000 3060658900 3296094200 3825823625 4120117750 4284922460 5356153075 6121317800 7651647250 8240235500 8569844920 10712306150 15303294500 16480471000 21424612300 26780765375 30606589000 42849224600 53561530750 107123061500 214246123000