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245305202000 = 2453122652601
BaseRepresentation
bin1110010001110101010…
…1000101010101010000
3212110011202000101222212
43210131111011111100
513004341112431000
6304405221451252
723502614546015
oct3443525052520
9773152011885
10245305202000
1195040434001
123b660270b28
131a19452cb01
14bc310b970c
1565aaa9cc35
hex391d545550

245305202000 has 40 divisors (see below), whose sum is σ = 593147983272. Its totient is φ = 98122080000.

The previous prime is 245305201997. The next prime is 245305202003. The reversal of 245305202000 is 202503542.

It is an interprime number because it is at equal distance from previous prime (245305201997) and next prime (245305202003).

It can be written as a sum of positive squares in 4 ways, for example, as 1577360656 + 243727841344 = 39716^2 + 493688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245305202003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 61324301 + ... + 61328300.

Almost surely, 2245305202000 is an apocalyptic number.

245305202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245305202000 is an abundant number, since it is smaller than the sum of its proper divisors (347842781272).

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

245305202000 is a wasteful number, since it uses less digits than its factorization.

245305202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122652624 (or 122652608 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

Adding to 245305202000 its reverse (202503542), we get a palindrome (245507705542).

The spelling of 245305202000 in words is "two hundred forty-five billion, three hundred five million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 122652601 245305202 490610404 613263005 981220808 1226526010 1962441616 2453052020 3066315025 4906104040 6132630050 9812208080 12265260100 15331575125 24530520200 30663150250 49061040400 61326300500 122652601000 245305202000