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2252013114 = 2313194335339
BaseRepresentation
bin1000011000111010…
…1111111000111010
312210221120010020010
42012032233320322
514103003404424
61011244242350
7106543536621
oct20616577072
95727503203
102252013114
11a5622586a
1252a2403b6
1329b743150
1417513a6b8
15d2a93229
hex863afe3a

2252013114 has 64 divisors (see below), whose sum is σ = 5224665600. Its totient is φ = 641172672.

The previous prime is 2252013091. The next prime is 2252013143. The reversal of 2252013114 is 4113102522.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46057 + ... + 81395.

It is an arithmetic number, because the mean of its divisors is an integer number (81635400).

Almost surely, 22252013114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252013114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612332800).

2252013114 is an abundant number, since it is smaller than the sum of its proper divisors (2972652486).

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

2252013114 is a wasteful number, since it uses less digits than its factorization.

2252013114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35419.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2252013114 is about 47455.3802429187. The cubic root of 2252013114 is about 1310.7613844013.

Adding to 2252013114 its reverse (4113102522), we get a palindrome (6365115636).

The spelling of 2252013114 in words is "two billion, two hundred fifty-two million, thirteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 43 57 78 86 114 129 247 258 494 559 741 817 1118 1482 1634 1677 2451 3354 4902 10621 21242 31863 35339 63726 70678 106017 212034 459407 671441 918814 1342882 1378221 1519577 2014323 2756442 3039154 4028646 4558731 8728733 9117462 17457466 19754501 26186199 28871963 39509002 52372398 57743926 59263503 86615889 118527006 173231778 375335519 750671038 1126006557 2252013114