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2142226056 = 233294121831
BaseRepresentation
bin111111110101111…
…1100011010001000
312112021222100200210
41333223330122020
513341402213211
6552323201120
7104041423005
oct17753743210
95467870623
102142226056
119aa25a163
124b95161a0
13281a839a9
1416471c8ac
15c81089a6
hex7fafc688

2142226056 has 96 divisors (see below), whose sum is σ = 5681764800. Its totient is φ = 672268800.

The previous prime is 2142225983. The next prime is 2142226057. The reversal of 2142226056 is 6506222412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2142226057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1169061 + ... + 1170891.

It is an arithmetic number, because the mean of its divisors is an integer number (59185050).

Almost surely, 22142226056 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 2142226056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840882400).

2142226056 is an abundant number, since it is smaller than the sum of its proper divisors (3539538744).

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

2142226056 is a wasteful number, since it uses less digits than its factorization.

2142226056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2142226056 is about 46284.1879695431. The cubic root of 2142226056 is about 1289.1054142616.

Adding to 2142226056 its reverse (6506222412), we get a palindrome (8648448468).

The spelling of 2142226056 in words is "two billion, one hundred forty-two million, two hundred twenty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 29 41 58 82 87 116 123 164 174 232 246 328 348 492 696 984 1189 1681 1831 2378 3362 3567 3662 4756 5043 5493 6724 7134 7324 9512 10086 10986 13448 14268 14648 20172 21972 28536 40344 43944 48749 53099 75071 97498 106198 146247 150142 159297 194996 212396 225213 292494 300284 318594 389992 424792 450426 584988 600568 637188 900852 1169976 1274376 1801704 2177059 3077911 4354118 6155822 6531177 8708236 9233733 12311644 13062354 17416472 18467466 24623288 26124708 36934932 52249416 73869864 89259419 178518838 267778257 357037676 535556514 714075352 1071113028 2142226056