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245214606 = 237132179193
BaseRepresentation
bin11101001110110…
…10110110001110
3122002102012012110
432213122312032
51000233331411
640155444450
76035201250
oct1647326616
9562365173
10245214606
111164653aa
126a156726
133ba58500
14247d1cd0
15167db2a6
hexe9dad8e

245214606 has 96 divisors (see below), whose sum is σ = 613474560. Its totient is φ = 63977472.

The previous prime is 245214587. The next prime is 245214643. The reversal of 245214606 is 606412542.

245214606 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1270446 + ... + 1270638.

It is an arithmetic number, because the mean of its divisors is an integer number (6390360).

Almost surely, 2245214606 is an apocalyptic number.

245214606 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 245214606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306737280).

245214606 is an abundant number, since it is smaller than the sum of its proper divisors (368259954).

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

245214606 is a wasteful number, since it uses less digits than its factorization.

245214606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 245214606 is about 15659.3296791402. The cubic root of 245214606 is about 625.9151232119.

The spelling of 245214606 in words is "two hundred forty-five million, two hundred fourteen thousand, six hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 179 182 193 273 338 358 386 507 537 546 579 1014 1074 1158 1183 1253 1351 2327 2366 2506 2509 2702 3549 3759 4053 4654 5018 6981 7098 7518 7527 8106 13962 15054 16289 17563 30251 32578 32617 34547 35126 48867 52689 60502 65234 69094 90753 97734 97851 103641 105378 181506 195702 207282 211757 228319 241829 423514 449111 456638 483658 635271 684957 725487 898222 1270542 1347333 1369914 1450974 2694666 3143777 5838443 6287554 9431331 11676886 17515329 18862662 35030658 40869101 81738202 122607303 245214606