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214202122224 = 24313134065223
BaseRepresentation
bin1100011101111101110…
…0001111111111110000
3202110220010002020122020
43013133130033333300
512002141220402344
6242223022511440
721322061666106
oct3073734177760
9673803066566
10214202122224
118292a5718a2
123561ba35580
13172787792ac
14a52036dc76
15588a1d0719
hex31df70fff0

214202122224 has 40 divisors (see below), whose sum is σ = 557579586432. Its totient is φ = 70855661760.

The previous prime is 214202122223. The next prime is 214202122243. The reversal of 214202122224 is 422221202412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 214202122194 and 214202122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214202122223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17026324 + ... + 17038899.

Almost surely, 2214202122224 is an apocalyptic number.

214202122224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214202122224 is an abundant number, since it is smaller than the sum of its proper divisors (343377464208).

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

214202122224 is a wasteful number, since it uses less digits than its factorization.

214202122224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34065365 (or 34065359 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 214202122224 its reverse (422221202412), we get a palindrome (636423324636).

The spelling of 214202122224 in words is "two hundred fourteen billion, two hundred two million, one hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 131 262 393 524 786 1048 1572 2096 3144 6288 34065223 68130446 102195669 136260892 204391338 272521784 408782676 545043568 817565352 1635130704 4462544213 8925088426 13387632639 17850176852 26775265278 35700353704 53550530556 71400707408 107101061112 214202122224