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10622220500 = 22531710112373
BaseRepresentation
bin10011110010010001…
…00011100011010100
31000102021120201012002
421321020203203110
5133223242024000
64514011014432
7524141245613
oct117110434324
930367521162
1010622220500
114560a6a531
12208543a418
131003896098
1472aa5187a
154228198d5
hex2792238d4

10622220500 has 96 divisors (see below), whose sum is σ = 24808781088. Its totient is φ = 3959040000.

The previous prime is 10622220461. The next prime is 10622220527. The reversal of 10622220500 is 502222601.

It can be written as a sum of positive squares in 16 ways, for example, as 2920753936 + 7701466564 = 54044^2 + 87758^2 .

It is a super-2 number, since 2×106222205002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 852314 + ... + 864686.

It is an arithmetic number, because the mean of its divisors is an integer number (258424803).

Almost surely, 210622220500 is an apocalyptic number.

10622220500 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 10622220500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12404390544).

10622220500 is an abundant number, since it is smaller than the sum of its proper divisors (14186560588).

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

10622220500 is a wasteful number, since it uses less digits than its factorization.

10622220500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12510 (or 12498 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 10622220500 in words is "ten billion, six hundred twenty-two million, two hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 101 125 170 202 250 340 404 425 500 505 850 1010 1700 1717 2020 2125 2525 3434 4250 5050 6868 8500 8585 10100 12373 12625 17170 24746 25250 34340 42925 49492 50500 61865 85850 123730 171700 210341 214625 247460 309325 420682 429250 618650 841364 858500 1051705 1237300 1249673 1546625 2103410 2499346 3093250 4206820 4998692 5258525 6186500 6248365 10517050 12496730 21034100 21244441 24993460 26292625 31241825 42488882 52585250 62483650 84977764 105170500 106222205 124967300 156209125 212444410 312418250 424888820 531111025 624836500 1062222050 2124444100 2655555125 5311110250 10622220500