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13229700 = 223521119211
BaseRepresentation
bin110010011101…
…111010000100
3220220010201220
4302131322010
511341322300
61151320340
7220310361
oct62357204
926803656
1013229700
117516740
1245200b0
132982933
141a85468
151264da0
hexc9de84

13229700 has 144 divisors (see below), whose sum is σ = 44163840. Its totient is φ = 3024000.

The previous prime is 13229663. The next prime is 13229707. The reversal of 13229700 is 792231.

13229700 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13229707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62595 + ... + 62805.

Almost surely, 213229700 is an apocalyptic number.

13229700 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 13229700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22081920).

13229700 is an abundant number, since it is smaller than the sum of its proper divisors (30934140).

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

13229700 is a wasteful number, since it uses less digits than its factorization.

13229700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 13229700 is about 3637.2654563559. The cubic root of 13229700 is about 236.5102671846.

It can be divided in two parts, 132 and 29700, that multiplied together give a square (3920400 = 19802).

The spelling of 13229700 in words is "thirteen million, two hundred twenty-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 25 30 33 38 44 50 55 57 60 66 75 76 95 100 110 114 132 150 165 190 209 211 220 228 275 285 300 330 380 418 422 475 550 570 627 633 660 825 836 844 950 1045 1055 1100 1140 1254 1266 1425 1650 1900 2090 2110 2321 2508 2532 2850 3135 3165 3300 4009 4180 4220 4642 5225 5275 5700 6270 6330 6963 8018 9284 10450 10550 11605 12027 12540 12660 13926 15675 15825 16036 20045 20900 21100 23210 24054 27852 31350 31650 34815 40090 44099 46420 48108 58025 60135 62700 63300 69630 80180 88198 100225 116050 120270 132297 139260 174075 176396 200450 220495 232100 240540 264594 300675 348150 400900 440990 529188 601350 661485 696300 881980 1102475 1202700 1322970 2204950 2645940 3307425 4409900 6614850 13229700