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4225922800 = 2452112274231
BaseRepresentation
bin1111101111100010…
…0111011011110000
3101220111211010021021
43323320213123300
532123314012200
61535200105224
7206502515431
oct37370473360
911814733237
104225922800
111879472390
1299b305214
13524683c48
142c1363488
1519b00041a
hexfbe276f0

4225922800 has 120 divisors (see below), whose sum is σ = 11127180672. Its totient is φ = 1529568000.

The previous prime is 4225922777. The next prime is 4225922819. The reversal of 4225922800 is 82295224.

It is a congruent number.

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, 996685 + ... + 1000915.

Almost surely, 24225922800 is an apocalyptic number.

4225922800 is a gapful number since it is divisible by the number (40) 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 4225922800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563590336).

4225922800 is an abundant number, since it is smaller than the sum of its proper divisors (6901257872).

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

4225922800 is a wasteful number, since it uses less digits than its factorization.

4225922800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4487 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 4225922800 is about 65007.0980739796. The cubic root of 4225922800 is about 1616.7412518582.

The spelling of 4225922800 in words is "four billion, two hundred twenty-five million, nine hundred twenty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 227 275 400 440 454 550 880 908 1100 1135 1816 2200 2270 2497 3632 4231 4400 4540 4994 5675 8462 9080 9988 11350 12485 16924 18160 19976 21155 22700 24970 33848 39952 42310 45400 46541 49940 62425 67696 84620 90800 93082 99880 105775 124850 169240 186164 199760 211550 232705 249700 338480 372328 423100 465410 499400 744656 846200 930820 960437 998800 1163525 1692400 1861640 1920874 2327050 3723280 3841748 4654100 4802185 7683496 9308200 9604370 10564807 15366992 18616400 19208740 21129614 24010925 38417480 42259228 48021850 52824035 76834960 84518456 96043700 105648070 169036912 192087400 211296140 264120175 384174800 422592280 528240350 845184560 1056480700 2112961400 4225922800