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2242257552 = 24343315227
BaseRepresentation
bin1000010110100110…
…0010001010010000
312210021012111010000
42011221202022100
514043004220202
61010255210000
7106364606013
oct20551421220
95707174100
102242257552
11a50772317
12526b16900
13299708922
14173b1b37a
15d1cb791c
hex85a62290

2242257552 has 100 divisors (see below), whose sum is σ = 6510595696. Its totient is φ = 745018560.

The previous prime is 2242257541. The next prime is 2242257601. The reversal of 2242257552 is 2557522422.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 426363 + ... + 431589.

Almost surely, 22242257552 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 2242257552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255297848).

2242257552 is an abundant number, since it is smaller than the sum of its proper divisors (4268338144).

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

2242257552 is a wasteful number, since it uses less digits than its factorization.

2242257552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578 (or 5563 counting only the distinct ones).

The product of its digits is 112000, while the sum is 36.

The square root of 2242257552 is about 47352.4820046426. The cubic root of 2242257552 is about 1308.8659361502.

Adding to 2242257552 its reverse (2557522422), we get a palindrome (4799779974).

The spelling of 2242257552 in words is "two billion, two hundred forty-two million, two hundred fifty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 331 432 648 662 993 1296 1324 1986 2648 2979 3972 5227 5296 5958 7944 8937 10454 11916 15681 15888 17874 20908 23832 26811 31362 35748 41816 47043 47664 53622 62724 71496 83632 94086 107244 125448 141129 142992 188172 214488 250896 282258 376344 423387 428976 564516 752688 846774 1129032 1693548 1730137 2258064 3387096 3460274 5190411 6774192 6920548 10380822 13841096 15571233 20761644 27682192 31142466 41523288 46713699 62284932 83046576 93427398 124569864 140141097 186854796 249139728 280282194 373709592 560564388 747419184 1121128776 2242257552