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2252022136 = 2371314532129
BaseRepresentation
bin1000011000111011…
…0010000101111000
312210221120120121021
42012032302011320
514103004202021
61011244352224
7106543605130
oct20616620570
95727516537
102252022136
11a56231621
1252a245674
1329b7472a0
1417513dac0
15d2a95c41
hex863b2178

2252022136 has 64 divisors (see below), whose sum is σ = 5202993600. Its totient is φ = 889878528.

The previous prime is 2252022133. The next prime is 2252022163. The reversal of 2252022136 is 6312202522.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2252022136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252022133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1056720 + ... + 1058848.

It is an arithmetic number, because the mean of its divisors is an integer number (81296775).

Almost surely, 22252022136 is an apocalyptic number.

2252022136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252022136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601496800).

2252022136 is an abundant number, since it is smaller than the sum of its proper divisors (2950971464).

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

2252022136 is a wasteful number, since it uses less digits than its factorization.

2252022136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2252022136 is about 47455.4753005383. The cubic root of 2252022136 is about 1310.7631347868.

Adding to 2252022136 its reverse (6312202522), we get a palindrome (8564224658).

The spelling of 2252022136 in words is "two billion, two hundred fifty-two million, twenty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1453 2129 2906 4258 5812 8516 10171 11624 14903 17032 18889 20342 27677 29806 37778 40684 55354 59612 75556 81368 110708 119224 132223 151112 193739 221416 264446 387478 528892 774956 1057784 1549912 3093437 6186874 12373748 21654059 24747496 40214681 43308118 80429362 86616236 160858724 173232472 281502767 321717448 563005534 1126011068 2252022136