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10332224240 = 2451325139581
BaseRepresentation
bin10011001111101100…
…10011101011110000
3222200001220101002212
421213312103223300
5132130022133430
64425131231252
7514020312512
oct114766235360
928601811085
1010332224240
1144222a8aa8
1220042a8528
13c8878b770
14700323bb2
15407134b95
hex267d93af0

10332224240 has 80 divisors (see below), whose sum is σ = 25974025056. Its totient is φ = 3799680000.

The previous prime is 10332224237. The next prime is 10332224261. The reversal of 10332224240 is 4242223301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 241250 + ... + 280830.

Almost surely, 210332224240 is an apocalyptic number.

10332224240 is a gapful number since it is divisible by the number (10) 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 10332224240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12987012528).

10332224240 is an abundant number, since it is smaller than the sum of its proper divisors (15641800816).

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

10332224240 is a wasteful number, since it uses less digits than its factorization.

10332224240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39858 (or 39852 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 10332224240 its reverse (4242223301), we get a palindrome (14574447541).

The spelling of 10332224240 in words is "ten billion, three hundred thirty-two million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 251 260 502 520 1004 1040 1255 2008 2510 3263 4016 5020 6526 10040 13052 16315 20080 26104 32630 39581 52208 65260 79162 130520 158324 197905 261040 316648 395810 514553 633296 791620 1029106 1583240 2058212 2572765 3166480 4116424 5145530 8232848 9934831 10291060 19869662 20582120 39739324 41164240 49674155 79478648 99348310 129152803 158957296 198696620 258305606 397393240 516611212 645764015 794786480 1033222424 1291528030 2066444848 2583056060 5166112120 10332224240