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2221202144 = 25731910651
BaseRepresentation
bin1000010001100100…
…1101101011100000
312201210120202112002
42010121031223200
514022111432034
61004224023132
7106020623000
oct20431155340
95653522462
102221202144
11a3a8a1057
1251ba61aa8
13295245cc5
14170dda000
15d0008e7e
hex8464dae0

2221202144 has 96 divisors (see below), whose sum is σ = 5368608000. Its totient is φ = 901756800.

The previous prime is 2221202143. The next prime is 2221202149. The reversal of 2221202144 is 4412021222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221202143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203219 + ... + 213869.

It is an arithmetic number, because the mean of its divisors is an integer number (55923000).

Almost surely, 22221202144 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 2221202144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684304000).

2221202144 is an abundant number, since it is smaller than the sum of its proper divisors (3147405856).

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

2221202144 is a wasteful number, since it uses less digits than its factorization.

2221202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10701 (or 10679 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2221202144 is about 47129.6312737539. The cubic root of 2221202144 is about 1304.7561762682.

Adding to 2221202144 its reverse (4412021222), we get a palindrome (6633223366).

The spelling of 2221202144 in words is "two billion, two hundred twenty-one million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 343 392 532 608 686 784 931 1064 1372 1568 1862 2128 2744 3724 4256 5488 6517 7448 10651 10976 13034 14896 21302 26068 29792 42604 52136 74557 85208 104272 149114 170416 202369 208544 298228 340832 404738 521899 596456 809476 1043798 1192912 1416583 1618952 2087596 2385824 2833166 3237904 3653293 4175192 5666332 6475808 7306586 8350384 9916081 11332664 14613172 16700768 19832162 22665328 29226344 39664324 45330656 58452688 69412567 79328648 116905376 138825134 158657296 277650268 317314592 555300536 1110601072 2221202144