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2222749152 = 2532132692207
BaseRepresentation
bin1000010001111100…
…0111010111100000
312201220111100121200
42010133013113200
514023010433102
61004321121200
7106040025141
oct20437072740
95656440550
102222749152
11a40758378
12520489200
132956681b0
141712bdac8
15d021251c
hex847c75e0

2222749152 has 144 divisors (see below), whose sum is σ = 6835570560. Its totient is φ = 681071616.

The previous prime is 2222749121. The next prime is 2222749157. The reversal of 2222749152 is 2519472222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×22227491522 = 9881227585433438208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222749157) 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, 1006033 + ... + 1008239.

It is an arithmetic number, because the mean of its divisors is an integer number (47469240).

Almost surely, 22222749152 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 2222749152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417785280).

2222749152 is an abundant number, since it is smaller than the sum of its proper divisors (4612821408).

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

2222749152 is a wasteful number, since it uses less digits than its factorization.

2222749152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2494 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2222749152 is about 47146.0406821188. The cubic root of 2222749152 is about 1305.0590152551.

The spelling of 2222749152 in words is "two billion, two hundred twenty-two million, seven hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 269 288 312 416 468 538 624 807 936 1076 1248 1614 1872 2152 2207 2421 3228 3497 3744 4304 4414 4842 6456 6621 6994 8608 8828 9684 10491 12912 13242 13988 17656 19368 19863 20982 25824 26484 27976 28691 31473 35312 38736 39726 41964 52968 55952 57382 62946 70624 77472 79452 83928 86073 105936 111904 114764 125892 158904 167856 172146 211872 229528 251784 258219 317808 335712 344292 459056 503568 516438 593683 635616 688584 918112 1007136 1032876 1187366 1377168 1781049 2065752 2374732 2754336 3562098 4131504 4749464 5343147 7124196 7717879 8263008 9498928 10686294 14248392 15435758 18997856 21372588 23153637 28496784 30871516 42745176 46307274 56993568 61743032 69460911 85490352 92614548 123486064 138921822 170980704 185229096 246972128 277843644 370458192 555687288 740916384 1111374576 2222749152