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1225034400 = 253524671093
BaseRepresentation
bin100100100000100…
…1000101010100000
310011101010012021110
41021001020222200
510002102100100
6321320423320
742233422602
oct11101105240
93141105243
101225034400
11579555527
122a2317b40
13166a4b235
14b89a9172
1572833250
hex49048aa0

1225034400 has 144 divisors (see below), whose sum is σ = 3999681504. Its totient is φ = 325678080.

The previous prime is 1225034387. The next prime is 1225034411. The reversal of 1225034400 is 44305221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1120254 + ... + 1121346.

It is an arithmetic number, because the mean of its divisors is an integer number (27775566).

Almost surely, 21225034400 is an apocalyptic number.

1225034400 is a gapful number since it is divisible by the number (10) 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 1225034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999840752).

1225034400 is an abundant number, since it is smaller than the sum of its proper divisors (2774647104).

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

1225034400 is a wasteful number, since it uses less digits than its factorization.

1225034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 1225034400 is about 35000.4914251214. The cubic root of 1225034400 is about 1069.9974961365.

Adding to 1225034400 its reverse (44305221), we get a palindrome (1269339621).

The spelling of 1225034400 in words is "one billion, two hundred twenty-five million, thirty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 467 480 600 800 934 1093 1200 1401 1868 2186 2335 2400 2802 3279 3736 4372 4670 5465 5604 6558 7005 7472 8744 9340 10930 11208 11675 13116 14010 14944 16395 17488 18680 21860 22416 23350 26232 27325 28020 32790 34976 35025 37360 43720 44832 46700 52464 54650 56040 65580 70050 74720 81975 87440 93400 104928 109300 112080 131160 140100 163950 174880 186800 218600 224160 262320 280200 327900 373600 437200 510431 524640 560400 655800 874400 1020862 1120800 1311600 1531293 2041724 2552155 2623200 3062586 4083448 5104310 6125172 7656465 8166896 10208620 12250344 12760775 15312930 16333792 20417240 24500688 25521550 30625860 38282325 40834480 49001376 51043100 61251720 76564650 81668960 102086200 122503440 153129300 204172400 245006880 306258600 408344800 612517200 1225034400