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214222084608 = 2937111717837
BaseRepresentation
bin1100011110000010100…
…0011001101000000000
3202110221111122102212210
43013200220121220000
512002211323201413
6242225014422120
721322423450350
oct3074050315000
9673844572783
10214222084608
118293a866934
1235626661940
131727c94855c
14a522c88b60
15588bd253c3
hex31e0a19a00

214222084608 has 160 divisors (see below), whose sum is σ = 652850250624. Its totient is φ = 61148086272.

The previous prime is 214222084607. The next prime is 214222084667. The reversal of 214222084608 is 806480222412.

It is a super-2 number, since 2×2142220846082 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214222084607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12001066 + ... + 12018902.

Almost surely, 2214222084608 is an apocalyptic number.

214222084608 is a gapful number since it is divisible by the number (28) 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 214222084608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326425125312).

214222084608 is an abundant number, since it is smaller than the sum of its proper divisors (438628166016).

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

214222084608 is a wasteful number, since it uses less digits than its factorization.

214222084608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18982 (or 18966 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 214222084608 in words is "two hundred fourteen billion, two hundred twenty-two million, eighty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1117 1344 1536 1792 2234 2688 3351 3584 4468 5376 6702 7819 8936 10752 13404 15638 17837 17872 23457 26808 31276 35674 35744 46914 53511 53616 62552 71348 71488 93828 107022 107232 124859 125104 142696 142976 187656 214044 214464 249718 250208 285392 285952 374577 375312 428088 428928 499436 500416 570784 571904 749154 750624 856176 857856 998872 1000832 1141568 1498308 1501248 1712352 1715712 1997744 2001664 2283136 2996616 3002496 3424704 3995488 4003328 4566272 5993232 6004992 6849408 7990976 9132544 11986464 12009984 13698816 15981952 19923929 23972928 27397632 31963904 39847858 47945856 59771787 63927808 79695716 95891712 119543574 139467503 159391432 191783424 239087148 278935006 318782864 418402509 478174296 557870012 637565728 836805018 956348592 1115740024 1275131456 1673610036 1912697184 2231480048 2550262912 3347220072 3825394368 4462960096 5100525824 6694440144 7650788736 8925920192 10201051648 13388880288 15301577472 17851840384 26777760576 30603154944 35703680768 53555521152 71407361536 107111042304 214222084608