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245552320 = 2651367881
BaseRepresentation
bin11101010001011…
…01010011000000
3122010001100110101
432220231103000
51000330133240
640211012144
76041105656
oct1650552300
9563040411
10245552320
11116676102
126a29a054
133bb46140
142487cdd6
151685639a
hexea2d4c0

245552320 has 112 divisors (see below), whose sum is σ = 639823968. Its totient is φ = 89210880.

The previous prime is 245552273. The next prime is 245552323. The reversal of 245552320 is 23255542.

It is not an unprimeable number, because it can be changed into a prime (245552323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278280 + ... + 279160.

It is an arithmetic number, because the mean of its divisors is an integer number (5712714).

Almost surely, 2245552320 is an apocalyptic number.

245552320 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 245552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319911984).

245552320 is an abundant number, since it is smaller than the sum of its proper divisors (394271648).

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

245552320 is a wasteful number, since it uses less digits than its factorization.

245552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 245552320 is about 15670.1091253380. The cubic root of 245552320 is about 626.2023319534.

The spelling of 245552320 in words is "two hundred forty-five million, five hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 67 80 104 130 134 160 208 260 268 320 335 416 520 536 670 832 871 881 1040 1072 1340 1742 1762 2080 2144 2680 3484 3524 4160 4288 4355 4405 5360 6968 7048 8710 8810 10720 11453 13936 14096 17420 17620 21440 22906 27872 28192 34840 35240 45812 55744 56384 57265 59027 69680 70480 91624 114530 118054 139360 140960 183248 229060 236108 278720 281920 295135 366496 458120 472216 590270 732992 767351 916240 944432 1180540 1534702 1832480 1888864 2361080 3069404 3664960 3777728 3836755 4722160 6138808 7673510 9444320 12277616 15347020 18888640 24555232 30694040 49110464 61388080 122776160 245552320