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245212000 = 2553115573
BaseRepresentation
bin11101001110110…
…10001101100000
3122002102001121221
432213122031200
51000233241000
640155424424
76035160535
oct1647321540
9562361557
10245212000
11116463450
126a155114
133ba57277
14247d0d8c
15167da61a
hexe9da360

245212000 has 96 divisors (see below), whose sum is σ = 657375264. Its totient is φ = 89152000.

The previous prime is 245211977. The next prime is 245212003. The reversal of 245212000 is 212542.

245212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245212003) 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, 41214 + ... + 46786.

It is an arithmetic number, because the mean of its divisors is an integer number (6847659).

Almost surely, 2245212000 is an apocalyptic number.

245212000 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 245212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328687632).

245212000 is an abundant number, since it is smaller than the sum of its proper divisors (412163264).

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

245212000 is a wasteful number, since it uses less digits than its factorization.

245212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5609 (or 5591 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 245212000 is about 15659.2464697379. The cubic root of 245212000 is about 625.9129059152.

Adding to 245212000 its reverse (212542), we get a palindrome (245424542).

The spelling of 245212000 in words is "two hundred forty-five million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 5573 8800 11000 11146 22000 22292 27865 44000 44584 55730 61303 89168 111460 122606 139325 178336 222920 245212 278650 306515 445840 490424 557300 613030 696625 891680 980848 1114600 1226060 1393250 1532575 1961696 2229200 2452120 2786500 3065150 4458400 4904240 5573000 6130300 7662875 9808480 11146000 12260600 15325750 22292000 24521200 30651500 49042400 61303000 122606000 245212000