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2225011032 = 23359531201
BaseRepresentation
bin1000010010011110…
…1111100101011000
312202001202021100000
42010213233211120
514024100323112
61004441413000
7106065165426
oct20447574530
95661667300
102225011032
11a41a627a2
1252119a160
13295c7a89a
1417170c116
15d050c7dc
hex849ef958

2225011032 has 96 divisors (see below), whose sum is σ = 6261025680. Its totient is φ = 740275200.

The previous prime is 2225011013. The next prime is 2225011037. The reversal of 2225011032 is 2301105222.

2225011032 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 2225010996 and 2225011014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225011037) 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, 1852032 + ... + 1853232.

Almost surely, 22225011032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130512840).

2225011032 is an abundant number, since it is smaller than the sum of its proper divisors (4036014648).

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

2225011032 is a wasteful number, since it uses less digits than its factorization.

2225011032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2225011032 is about 47170.0225991042. The cubic root of 2225011032 is about 1305.5015432486.

Adding to 2225011032 its reverse (2301105222), we get a palindrome (4526116254).

The spelling of 2225011032 in words is "two billion, two hundred twenty-five million, eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 953 972 1201 1906 1944 2402 2859 3603 3812 4804 5718 7206 7624 8577 9608 10809 11436 14412 17154 21618 22872 25731 28824 32427 34308 43236 51462 64854 68616 77193 86472 97281 102924 129708 154386 194562 205848 231579 259416 291843 308772 389124 463158 583686 617544 778248 926316 1144553 1167372 1852632 2289106 2334744 3433659 4578212 6867318 9156424 10300977 13734636 20601954 27469272 30902931 41203908 61805862 82407816 92708793 123611724 185417586 247223448 278126379 370835172 556252758 741670344 1112505516 2225011032