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13222632200 = 23524721732
BaseRepresentation
bin11000101000010000…
…10101101100001000
31021010111201022102112
430110020111230020
5204034443212300
610024022521452
7645445343051
oct142410255410
937114638375
1013222632200
115675916308
122690296288
13132955152b
148d615d728
15525c7be35
hex314215b08

13222632200 has 108 divisors (see below), whose sum is σ = 31593249015. Its totient is φ = 5146597760.

The previous prime is 13222632167. The next prime is 13222632211. The reversal of 13222632200 is 223622231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 10749957124 + 2472675076 = 103682^2 + 49726^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=81310.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76431314 + ... + 76431486.

Almost surely, 213222632200 is an apocalyptic number.

13222632200 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 13222632200

13222632200 is an abundant number, since it is smaller than the sum of its proper divisors (18370616815).

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

13222632200 is an equidigital number, since it uses as much as digits as its factorization.

13222632200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The spelling of 13222632200 in words is "thirteen billion, two hundred twenty-two million, six hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 173 188 200 235 346 376 470 692 865 940 1175 1384 1730 1880 2209 2350 3460 4325 4418 4700 6920 8131 8650 8836 9400 11045 16262 17300 17672 22090 29929 32524 34600 40655 44180 55225 59858 65048 81310 88360 110450 119716 149645 162620 203275 220900 239432 299290 325240 382157 406550 441800 598580 748225 764314 813100 1197160 1406663 1496450 1528628 1626200 1910785 2813326 2992900 3057256 3821570 5626652 5985800 7033315 7643140 9553925 11253304 14066630 15286280 19107850 28133260 35166575 38215700 56266520 66113161 70333150 76431400 132226322 140666300 264452644 281332600 330565805 528905288 661131610 1322263220 1652829025 2644526440 3305658050 6611316100 13222632200