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245224704 = 2832691187
BaseRepresentation
bin11101001110111…
…01010100000000
3122002102201001110
432213131110000
51000234142304
640200003320
76035242554
oct1647352400
9562381043
10245224704
11116471a4a
126a160540
133ba5cc9a
14247d5864
15167de289
hexe9dd500

245224704 has 72 divisors (see below), whose sum is σ = 655633440. Its totient is φ = 81369088.

The previous prime is 245224687. The next prime is 245224717. The reversal of 245224704 is 407422542.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205999 + ... + 207185.

It is an arithmetic number, because the mean of its divisors is an integer number (9106020).

Almost surely, 2245224704 is an apocalyptic number.

245224704 is a gapful number since it is divisible by the number (24) 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 245224704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327816720).

245224704 is an abundant number, since it is smaller than the sum of its proper divisors (410408736).

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

245224704 is a wasteful number, since it uses less digits than its factorization.

245224704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 245224704 is about 15659.6521034153. The cubic root of 245224704 is about 625.9237148754.

The spelling of 245224704 in words is "two hundred forty-five million, two hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 269 384 538 768 807 1076 1187 1614 2152 2374 3228 3561 4304 4748 6456 7122 8608 9496 12912 14244 17216 18992 25824 28488 34432 37984 51648 56976 68864 75968 103296 113952 151936 206592 227904 303872 319303 455808 638606 911616 957909 1277212 1915818 2554424 3831636 5108848 7663272 10217696 15326544 20435392 30653088 40870784 61306176 81741568 122612352 245224704