Search a number
-
+
2834222922480 = 2435173372061313
BaseRepresentation
bin101001001111100100110…
…110011011101011110000
3101000221121212110011221010
4221033210312123223300
5332413442032004410
610010005105230520
7411523454230215
oct51174466335360
911027555404833
102834222922480
119a2a94a51794
1239935b632440
1317735c749221
149b26a041b0c
154dad0a04c20
hex293e4d9baf0

2834222922480 has 160 divisors (see below), whose sum is σ = 9330529575744. Its totient is φ = 709223251968.

The previous prime is 2834222922469. The next prime is 2834222922511. The reversal of 2834222922480 is 842292224382.

It is a super-2 number, since 2×28342229224802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344304 + ... + 2405616.

Almost surely, 22834222922480 is an apocalyptic number.

2834222922480 is a gapful number since it is divisible by the number (20) 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 2834222922480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665264787872).

2834222922480 is an abundant number, since it is smaller than the sum of its proper divisors (6496306653264).

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

2834222922480 is a wasteful number, since it uses less digits than its factorization.

2834222922480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061683 (or 2061677 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 2834222922480 in words is "two trillion, eight hundred thirty-four billion, two hundred twenty-two million, nine hundred twenty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 337 340 408 510 674 680 816 1011 1020 1348 1360 1685 2022 2040 2696 3370 4044 4080 5055 5392 5729 6740 8088 10110 11458 13480 16176 17187 20220 22916 26960 28645 34374 40440 45832 57290 68748 80880 85935 91664 114580 137496 171870 229160 274992 343740 458320 687480 1374960 2061313 4122626 6183939 8245252 10306565 12367878 16490504 20613130 24735756 30919695 32981008 35042321 41226260 49471512 61839390 70084642 82452520 98943024 105126963 123678780 140169284 164905040 175211605 210253926 247357560 280338568 350423210 420507852 494715120 525634815 560677136 694662481 700846420 841015704 1051269630 1389324962 1401692840 1682031408 2083987443 2102539260 2778649924 2803385680 3473312405 4167974886 4205078520 5557299848 6946624810 8335949772 8410157040 10419937215 11114599696 11809262177 13893249620 16671899544 20839874430 23618524354 27786499240 33343799088 35427786531 41679748860 47237048708 55572998480 59046310885 70855573062 83359497720 94474097416 118092621770 141711146124 166718995440 177138932655 188948194832 236185243540 283422292248 354277865310 472370487080 566844584496 708555730620 944740974160 1417111461240 2834222922480