Search a number
-
+
2248348752 = 24351344483
BaseRepresentation
bin1000011000000011…
…0001010001010000
312210200122221200000
42012000301101100
514101034130002
61011033530000
7106500435426
oct20600612120
95720587600
102248348752
11a54152771
12528b73900
1329aa5c2a0
14174865116
15d25bc61c
hex86031450

2248348752 has 120 divisors (see below), whose sum is σ = 7027404384. Its totient is φ = 691784064.

The previous prime is 2248348747. The next prime is 2248348757. The reversal of 2248348752 is 2578438422.

It is an interprime number because it is at equal distance from previous prime (2248348747) and next prime (2248348757).

It is a super-2 number, since 2×22483487522 = 10110144221239915008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2248348698 and 2248348707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248348757) 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, 28303 + ... + 72785.

Almost surely, 22248348752 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 2248348752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513702192).

2248348752 is an abundant number, since it is smaller than the sum of its proper divisors (4779055632).

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

2248348752 is a wasteful number, since it uses less digits than its factorization.

2248348752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44519 (or 44501 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 2248348752 is about 47416.7560256920. The cubic root of 2248348752 is about 1310.0500635452.

It can be divided in two parts, 224834 and 8752, that added together give a triangular number (233586 = T683).

The spelling of 2248348752 in words is "two billion, two hundred forty-eight million, three hundred forty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3159 3888 4212 5616 6318 8424 12636 16848 25272 44483 50544 88966 133449 177932 266898 355864 400347 533796 578279 711728 800694 1067592 1156558 1201041 1601388 1734837 2135184 2313116 2402082 3202776 3469674 3603123 4626232 4804164 5204511 6405552 6939348 7206246 9252464 9608328 10409022 10809369 13878696 14412492 15613533 19216656 20818044 21618738 27757392 28824984 31227066 41636088 43237476 46840599 57649968 62454132 83272176 86474952 93681198 124908264 140521797 172949904 187362396 249816528 281043594 374724792 562087188 749449584 1124174376 2248348752