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214232002424 = 231123269393479
BaseRepresentation
bin1100011110000100111…
…0001110111101111000
3202110222012022022120022
43013201032032331320
512002221343034144
6242230011150012
721322603655306
oct3074116167570
9673865268508
10214232002424
1182945420280
1235629a45308
1317281a0b89b
14a52430b276
15588cb33cee
hex31e138ef78

214232002424 has 64 divisors (see below), whose sum is σ = 458955072000. Its totient is φ = 92797851520.

The previous prime is 214232002399. The next prime is 214232002459. The reversal of 214232002424 is 424200232412.

It is a junction number, because it is equal to n+sod(n) for n = 214232002393 and 214232002402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347717 + ... + 741195.

It is an arithmetic number, because the mean of its divisors is an integer number (7171173000).

Almost surely, 2214232002424 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 214232002424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229477536000).

214232002424 is an abundant number, since it is smaller than the sum of its proper divisors (244723069576).

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

214232002424 is a wasteful number, since it uses less digits than its factorization.

214232002424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393788 (or 393784 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 214232002424 its reverse (424200232412), we get a palindrome (638432234836).

The spelling of 214232002424 in words is "two hundred fourteen billion, two hundred thirty-two million, two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 269 506 538 1012 1076 2024 2152 2959 5918 6187 11836 12374 23672 24748 49496 68057 136114 272228 393479 544456 786958 1573916 3147832 4328269 8656538 9050017 17313076 18100034 34626152 36200068 72400136 99550187 105845851 199100374 211691702 398200748 423383404 796401496 846766808 1164304361 2328608722 2434454573 4657217444 4868909146 9314434888 9737818292 19475636584 26779000303 53558000606 107116001212 214232002424