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245412200 = 235211210141
BaseRepresentation
bin11101010000010…
…11000101101000
3122002210020020202
432220023011220
51000311142300
640204011332
76036653315
oct1650130550
9562706222
10245412200
1111658a900
126a230b48
133bac7427
1424843d0c
1516829ad5
hexea0b168

245412200 has 72 divisors (see below), whose sum is σ = 627231990. Its totient is φ = 89232000.

The previous prime is 245412179. The next prime is 245412247. The reversal of 245412200 is 2214542.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 141657604 + 103754596 = 11902^2 + 10186^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19130 + ... + 29270.

Almost surely, 2245412200 is an apocalyptic number.

245412200 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 245412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313615995).

245412200 is an abundant number, since it is smaller than the sum of its proper divisors (381819790).

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

245412200 is a wasteful number, since it uses less digits than its factorization.

245412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10179 (or 10159 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 245412200 is about 15665.6375548523. The cubic root of 245412200 is about 626.0831989369.

Adding to 245412200 its reverse (2214542), we get a palindrome (247626742).

The spelling of 245412200 in words is "two hundred forty-five million, four hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 10141 12100 20282 24200 40564 50705 81128 101410 111551 202820 223102 253525 405640 446204 507050 557755 892408 1014100 1115510 1227061 2028200 2231020 2454122 2788775 4462040 4908244 5577550 6135305 9816488 11155100 12270610 22310200 24541220 30676525 49082440 61353050 122706100 245412200