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309225312 = 25321197609
BaseRepresentation
bin10010011011100…
…110011101100000
3210112212021101100
4102123212131200
51113130202222
650403434400
710443241344
oct2233463540
9715767340
10309225312
11149605610
1287685a00
134c0aab76
142d0d5624
151c2324ac
hex126e6760

309225312 has 72 divisors (see below), whose sum is σ = 959311080. Its totient is φ = 93703680.

The previous prime is 309225307. The next prime is 309225331. The reversal of 309225312 is 213522903.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45637 + ... + 51972.

It is an arithmetic number, because the mean of its divisors is an integer number (13323765).

Almost surely, 2309225312 is an apocalyptic number.

309225312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

309225312 is an abundant number, since it is smaller than the sum of its proper divisors (650085768).

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

309225312 is a wasteful number, since it uses less digits than its factorization.

309225312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97636 (or 97625 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 309225312 is about 17584.8034393336. The cubic root of 309225312 is about 676.2257103741.

The spelling of 309225312 in words is "three hundred nine million, two hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 97609 195218 292827 390436 585654 780872 878481 1073699 1171308 1561744 1756962 2147398 2342616 3123488 3221097 3513924 4294796 4685232 6442194 7027848 8589592 9370464 9663291 12884388 14055696 17179184 19326582 25768776 28111392 34358368 38653164 51537552 77306328 103075104 154612656 309225312