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2221054452 = 223389269859
BaseRepresentation
bin1000010001100010…
…1001100111110100
312201210022020221000
42010120221213310
514022042220302
61004220523300
7106016436261
oct20430514764
95653266830
102221054452
11a3a8000a1
1251b9b0530
132951c3a06
14170d9c268
15ceeca31c
hex846299f4

2221054452 has 96 divisors (see below), whose sum is σ = 5851440000. Its totient is φ = 728462592.

The previous prime is 2221054441. The next prime is 2221054499. The reversal of 2221054452 is 2544501222.

2221054452 is a `hidden beast` number, since 2 + 2 + 210 + 5 + 445 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2585199 + ... + 2586057.

It is an arithmetic number, because the mean of its divisors is an integer number (60952500).

Almost surely, 22221054452 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 2221054452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925720000).

2221054452 is an abundant number, since it is smaller than the sum of its proper divisors (3630385548).

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

2221054452 is a wasteful number, since it uses less digits than its factorization.

2221054452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2221054452 is about 47128.0643778206. The cubic root of 2221054452 is about 1304.7272570452.

Adding to 2221054452 its reverse (2544501222), we get a palindrome (4765555674).

The spelling of 2221054452 in words is "two billion, two hundred twenty-one million, fifty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 267 269 356 534 538 801 807 859 1068 1076 1602 1614 1718 2403 2421 2577 3204 3228 3436 4806 4842 5154 7263 7731 9612 9684 10308 14526 15462 23193 23941 29052 30924 46386 47882 71823 76451 92772 95764 143646 152902 215469 229353 231071 287292 305804 430938 458706 462142 646407 688059 693213 861876 917412 924284 1292814 1376118 1386426 2064177 2079639 2585628 2752236 2772852 4128354 4159278 6238917 8256708 8318556 12477834 20565319 24955668 41130638 61695957 82261276 123391914 185087871 246783828 370175742 555263613 740351484 1110527226 2221054452