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224950740 = 223571513547
BaseRepresentation
bin11010110100001…
…11100111010100
3120200021200101220
431122013213110
5430041410430
634153250340
75401023030
oct1532074724
9520250356
10224950740
11105a84903
12634039b0
13377b1c61
1421c391c0
1514b37110
hexd6879d4

224950740 has 96 divisors (see below), whose sum is σ = 724813824. Its totient is φ = 51062400.

The previous prime is 224950729. The next prime is 224950751. The reversal of 224950740 is 47059422.

It is an interprime number because it is at equal distance from previous prime (224950729) and next prime (224950751).

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, 61647 + ... + 65193.

It is an arithmetic number, because the mean of its divisors is an integer number (7550144).

Almost surely, 2224950740 is an apocalyptic number.

224950740 is a gapful number since it is divisible by the number (20) 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 224950740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362406912).

224950740 is an abundant number, since it is smaller than the sum of its proper divisors (499863084).

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

224950740 is a wasteful number, since it uses less digits than its factorization.

224950740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 224950740 is about 14998.3579101180. The cubic root of 224950740 is about 608.1758097592.

The spelling of 224950740 in words is "two hundred twenty-four million, nine hundred fifty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 151 210 302 420 453 604 755 906 1057 1510 1812 2114 2265 3020 3171 3547 4228 4530 5285 6342 7094 9060 10570 10641 12684 14188 15855 17735 21140 21282 24829 31710 35470 42564 49658 53205 63420 70940 74487 99316 106410 124145 148974 212820 248290 297948 372435 496580 535597 744870 1071194 1489740 1606791 2142388 2677985 3213582 3749179 5355970 6427164 7498358 8033955 10711940 11247537 14996716 16067910 18745895 22495074 32135820 37491790 44990148 56237685 74983580 112475370 224950740