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225445421200 = 24529737915331
BaseRepresentation
bin1101000111110110011…
…0000010000010010000
3210112220200100000022211
43101331212002002100
512143203011434300
6251322421441504
722200514314316
oct3217546020220
9715820300284
10225445421200
118767a07681a
1237839270294
131834ac0b21c
14aca96940b6
155ce72cd4ba
hex347d982090

225445421200 has 120 divisors (see below), whose sum is σ = 548696096480. Its totient is φ = 89007206400.

The previous prime is 225445421111. The next prime is 225445421203. The reversal of 225445421200 is 2124544522.

It is not an unprimeable number, because it can be changed into a prime (225445421203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14697535 + ... + 14712865.

Almost surely, 2225445421200 is an apocalyptic number.

225445421200 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 225445421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274348048240).

225445421200 is an abundant number, since it is smaller than the sum of its proper divisors (323250675280).

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

225445421200 is a wasteful number, since it uses less digits than its factorization.

225445421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15825 (or 15814 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

Adding to 225445421200 its reverse (2124544522), we get a palindrome (227569965722).

The spelling of 225445421200 in words is "two hundred twenty-five billion, four hundred forty-five million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 194 200 379 388 400 485 758 776 970 1516 1552 1895 1940 2425 3032 3790 3880 4850 6064 7580 7760 9475 9700 15160 15331 18950 19400 30320 30662 36763 37900 38800 61324 73526 75800 76655 122648 147052 151600 153310 183815 245296 294104 306620 367630 383275 588208 613240 735260 766550 919075 1226480 1470520 1487107 1533100 1838150 2941040 2974214 3066200 3676300 5810449 5948428 6132400 7352600 7435535 11620898 11896856 14705200 14871070 23241796 23793712 29052245 29742140 37177675 46483592 58104490 59484280 74355350 92967184 116208980 118968560 145261225 148710700 232417960 290522450 297421400 464835920 563613553 581044900 594842800 1127227106 1162089800 2254454212 2324179600 2818067765 4508908424 5636135530 9017816848 11272271060 14090338825 22544542120 28180677650 45089084240 56361355300 112722710600 225445421200