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13222194000 = 243532395813
BaseRepresentation
bin11000101000001101…
…01010101101010000
31021010110220001022220
430110012222231100
5204034340202000
610024005301040
7645441536361
oct142406525520
937113801286
1013222194000
115675647064
122690104780
131329429c42
148d6087b68
15525be21a0
hex3141aab50

13222194000 has 160 divisors (see below), whose sum is σ = 44482224384. Its totient is φ = 3372582400.

The previous prime is 13222193987. The next prime is 13222194079. The reversal of 13222194000 is 49122231.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 90094 + ... + 185906.

Almost surely, 213222194000 is an apocalyptic number.

13222194000 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 13222194000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22241112192).

13222194000 is an abundant number, since it is smaller than the sum of its proper divisors (31260030384).

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

13222194000 is a wasteful number, since it uses less digits than its factorization.

13222194000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95862 (or 95846 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 13222194000 in words is "thirteen billion, two hundred twenty-two million, one hundred ninety-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 375 400 460 500 552 575 600 690 750 920 1000 1104 1150 1200 1380 1500 1725 1840 2000 2300 2760 2875 3000 3450 4600 5520 5750 6000 6900 8625 9200 11500 13800 17250 23000 27600 34500 46000 69000 95813 138000 191626 287439 383252 479065 574878 766504 958130 1149756 1437195 1533008 1916260 2203699 2299512 2395325 2874390 3832520 4407398 4599024 4790650 5748780 6611097 7185975 7665040 8814796 9581300 11018495 11497560 11976625 13222194 14371950 17629592 19162600 22036990 22995120 23953250 26444388 28743900 33055485 35259184 35929875 38325200 44073980 47906500 52888776 55092475 57487800 66110970 71859750 88147960 95813000 105777552 110184950 114975600 132221940 143719500 165277425 176295920 191626000 220369900 264443880 275462375 287439000 330554850 440739800 528887760 550924750 574878000 661109700 826387125 881479600 1101849500 1322219400 1652774250 2203699000 2644438800 3305548500 4407398000 6611097000 13222194000