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21230214040 = 2357179294801
BaseRepresentation
bin10011110001011010…
…110101101110011000
32000210120101121122201
4103301122311232120
5321434413322130
613430353055544
71351050561520
oct236132655630
960716347581
1021230214040
1190049a2042
124145b575b4
13200451a639
14105583c680
15843c73bca
hex4f16b5b98

21230214040 has 128 divisors (see below), whose sum is σ = 57877545600. Its totient is φ = 6841958400.

The previous prime is 21230213993. The next prime is 21230214041. The reversal of 21230214040 is 4041203212.

It is a junction number, because it is equal to n+sod(n) for n = 21230213999 and 21230214017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21230214041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4419640 + ... + 4424440.

It is an arithmetic number, because the mean of its divisors is an integer number (452168325).

Almost surely, 221230214040 is an apocalyptic number.

21230214040 is a gapful number since it is divisible by the number (20) 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 21230214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28938772800).

21230214040 is an abundant number, since it is smaller than the sum of its proper divisors (36647331560).

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

21230214040 is a wasteful number, since it uses less digits than its factorization.

21230214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5765 (or 5761 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 21230214040 its reverse (4041203212), we get a palindrome (25271417252).

The spelling of 21230214040 in words is "twenty-one billion, two hundred thirty million, two hundred fourteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 929 952 1190 1858 2380 3716 4645 4760 4801 6503 7432 9290 9602 13006 15793 18580 19204 24005 26012 31586 32515 33607 37160 38408 48010 52024 63172 65030 67214 78965 81617 96020 110551 126344 130060 134428 157930 163234 168035 192040 221102 260120 268856 315860 326468 336070 408085 442204 552755 571319 631720 652936 672140 816170 884408 1105510 1142638 1344280 1632340 2211020 2285276 2856595 3264680 4422040 4460129 4570552 5713190 8920258 11426380 17840516 22300645 22852760 31220903 35681032 44601290 62441806 75822193 89202580 124883612 151644386 156104515 178405160 249767224 303288772 312209030 379110965 530755351 606577544 624418060 758221930 1061510702 1248836120 1516443860 2123021404 2653776755 3032887720 4246042808 5307553510 10615107020 21230214040