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10822714000 = 245371814271
BaseRepresentation
bin10100001010001010…
…11000001010010000
31000221020211211120021
422011011120022100
5134131103322000
64545532153224
7532124360020
oct120505301220
930836754507
1010822714000
11465415a23a
122120608814
131036293ba7
14749521a80
1543522011a
hex285158290

10822714000 has 160 divisors (see below), whose sum is σ = 30080074752. Its totient is φ = 3689280000.

The previous prime is 10822713977. The next prime is 10822714027. The reversal of 10822714000 is 41722801.

It is a happy number.

It is a super-2 number, since 2×108227140002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2531865 + ... + 2536135.

Almost surely, 210822714000 is an apocalyptic number.

10822714000 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 10822714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15040037376).

10822714000 is an abundant number, since it is smaller than the sum of its proper divisors (19257360752).

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

10822714000 is a wasteful number, since it uses less digits than its factorization.

10822714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The spelling of 10822714000 in words is "ten billion, eight hundred twenty-two million, seven hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 181 200 250 280 350 362 400 500 560 700 724 875 905 1000 1267 1400 1448 1750 1810 2000 2534 2800 2896 3500 3620 4271 4525 5068 6335 7000 7240 8542 9050 10136 12670 14000 14480 17084 18100 20272 21355 22625 25340 29897 31675 34168 36200 42710 45250 50680 59794 63350 68336 72400 85420 90500 101360 106775 119588 126700 149485 158375 170840 181000 213550 239176 253400 298970 316750 341680 362000 427100 478352 506800 533875 597940 633500 747425 773051 854200 1067750 1195880 1267000 1494850 1546102 1708400 2135500 2391760 2534000 2989700 3092204 3737125 3865255 4271000 5411357 5979400 6184408 7474250 7730510 8542000 10822714 11958800 12368816 14948500 15461020 19326275 21645428 27056785 29897000 30922040 38652550 43290856 54113570 59794000 61844080 77305100 86581712 96631375 108227140 135283925 154610200 193262750 216454280 270567850 309220400 386525500 432908560 541135700 676419625 773051000 1082271400 1352839250 1546102000 2164542800 2705678500 5411357000 10822714000