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224150010 = 235721391097
BaseRepresentation
bin11010101110001…
…00000111111010
3120121210000000020
431113010013322
5424340300020
634124151310
75361146400
oct1527040772
9517700006
10224150010
11105588247
1263098536
1337591656
1421aab470
1514a29c40
hexd5c41fa

224150010 has 96 divisors (see below), whose sum is σ = 630866880. Its totient is φ = 50819328.

The previous prime is 224149979. The next prime is 224150023. The reversal of 224150010 is 10051422.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203782 + ... + 204878.

It is an arithmetic number, because the mean of its divisors is an integer number (6571530).

Almost surely, 2224150010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224150010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315433440).

224150010 is an abundant number, since it is smaller than the sum of its proper divisors (406716870).

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

224150010 is a wasteful number, since it uses less digits than its factorization.

224150010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 224150010 is about 14971.6401907072. The cubic root of 224150010 is about 607.4533351681.

The spelling of 224150010 in words is "two hundred twenty-four million, one hundred fifty thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 139 147 210 245 278 294 417 490 695 735 834 973 1097 1390 1470 1946 2085 2194 2919 3291 4170 4865 5485 5838 6582 6811 7679 9730 10970 13622 14595 15358 16455 20433 23037 29190 32910 34055 38395 40866 46074 53753 68110 76790 102165 107506 115185 152483 161259 204330 230370 268765 304966 322518 457449 537530 762415 806295 914898 1067381 1524830 1612590 2134762 2287245 3202143 4574490 5336905 6404286 7471667 10673810 14943334 16010715 22415001 32021430 37358335 44830002 74716670 112075005 224150010