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129229104 = 243172943127
BaseRepresentation
bin1111011001111…
…10000100110000
3100000011112000010
413230332010300
5231040312404
620453454520
73126300144
oct754760460
9300145003
10129229104
1166a45814
1237341440
1320a08934
141323d224
15b52a189
hex7b3e130

129229104 has 160 divisors (see below), whose sum is σ = 377118720. Its totient is φ = 37933056.

The previous prime is 129229103. The next prime is 129229117. The reversal of 129229104 is 401922921.

It is a happy number.

It is a super-2 number, since 2×1292291042 = 33400322641285632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129229103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017489 + ... + 1017615.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 2129229104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129229104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188559360).

129229104 is an abundant number, since it is smaller than the sum of its proper divisors (247889616).

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

129229104 is a wasteful number, since it uses less digits than its factorization.

129229104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 129229104 is about 11367.8979587257. The cubic root of 129229104 is about 505.5763820552.

The spelling of 129229104 in words is "one hundred twenty-nine million, two hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 43 48 51 58 68 86 87 102 116 127 129 136 172 174 204 232 254 258 272 344 348 381 408 464 493 508 516 688 696 731 762 816 986 1016 1032 1247 1392 1462 1479 1524 1972 2032 2064 2159 2193 2494 2924 2958 3048 3683 3741 3944 4318 4386 4988 5461 5848 5916 6096 6477 7366 7482 7888 8636 8772 9976 10922 11049 11696 11832 12954 14732 14964 16383 17272 17544 19952 21199 21844 22098 23664 25908 29464 29928 32766 34544 35088 42398 43688 44196 51816 58928 59856 62611 63597 65532 84796 87376 88392 92837 103632 125222 127194 131064 158369 169592 176784 185674 187833 250444 254388 262128 278511 316738 339184 371348 375666 475107 500888 508776 557022 633476 742696 751332 950214 1001776 1017552 1114044 1266952 1485392 1502664 1900428 2228088 2533904 2692273 3005328 3800856 4456176 5384546 7601712 8076819 10769092 16153638 21538184 32307276 43076368 64614552 129229104