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190330272 = 25321173823
BaseRepresentation
bin10110101100000…
…11010110100000
3111021010210001100
423112003112200
5342211032042
630515234400
74500531516
oct1326032640
9437123040
10190330272
1198488a50
12538a8a00
133057cb82
141b3c64b6
1511a9924c
hexb5835a0

190330272 has 144 divisors (see below), whose sum is σ = 599272128. Its totient is φ = 56816640.

The previous prime is 190330271. The next prime is 190330289. The reversal of 190330272 is 272033091.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1903302722 = 72451224879187968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (190330271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230853 + ... + 231675.

It is an arithmetic number, because the mean of its divisors is an integer number (4161612).

Almost surely, 2190330272 is an apocalyptic number.

190330272 is a gapful number since it is divisible by the number (12) 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 190330272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299636064).

190330272 is an abundant number, since it is smaller than the sum of its proper divisors (408941856).

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

190330272 is a wasteful number, since it uses less digits than its factorization.

190330272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 190330272 is about 13796.0237749868. The cubic root of 190330272 is about 575.2226202882. Note that the first 3 decimals are identical.

The spelling of 190330272 in words is "one hundred ninety million, three hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 73 88 96 99 132 144 146 176 198 219 264 288 292 352 396 438 528 584 657 792 803 823 876 1056 1168 1314 1584 1606 1646 1752 2336 2409 2469 2628 3168 3212 3292 3504 4818 4938 5256 6424 6584 7008 7227 7407 9053 9636 9876 10512 12848 13168 14454 14814 18106 19272 19752 21024 25696 26336 27159 28908 29628 36212 38544 39504 54318 57816 59256 60079 72424 77088 79008 81477 108636 115632 118512 120158 144848 162954 180237 217272 231264 237024 240316 289696 325908 360474 434544 480632 540711 651816 660869 720948 869088 961264 1081422 1303632 1321738 1441896 1922528 1982607 2162844 2607264 2643476 2883792 3965214 4325688 5286952 5767584 5947821 7930428 8651376 10573904 11895642 15860856 17302752 21147808 23791284 31721712 47582568 63443424 95165136 190330272