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2243126480 = 245737731483
BaseRepresentation
bin1000010110110011…
…0110010011010000
312210022211122001112
42011230312103100
514043220021410
61010325552452
7106405155230
oct20554662320
95708748045
102243126480
11a51206141
12527275728
1329995129a
14173ca5cc0
15d1dda105
hex85b364d0

2243126480 has 160 divisors (see below), whose sum is σ = 6209435904. Its totient is φ = 737538048.

The previous prime is 2243126467. The next prime is 2243126521. The reversal of 2243126480 is 846213422.

It is a congruent 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, 1511819 + ... + 1513301.

Almost surely, 22243126480 is an apocalyptic number.

2243126480 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 2243126480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104717952).

2243126480 is an abundant number, since it is smaller than the sum of its proper divisors (3966309424).

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

2243126480 is a wasteful number, since it uses less digits than its factorization.

2243126480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 2243126480 is about 47361.6562210402. The cubic root of 2243126480 is about 1309.0349865164.

The spelling of 2243126480 in words is "two billion, two hundred forty-three million, one hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 73 74 80 112 140 146 148 185 259 280 292 296 365 370 511 518 560 584 592 730 740 1022 1036 1168 1295 1460 1480 1483 2044 2072 2555 2590 2701 2920 2960 2966 4088 4144 5110 5180 5402 5840 5932 7415 8176 10220 10360 10381 10804 11864 13505 14830 18907 20440 20720 20762 21608 23728 27010 29660 37814 40880 41524 43216 51905 54020 54871 59320 75628 83048 94535 103810 108040 108259 109742 118640 151256 166096 189070 207620 216080 216518 219484 274355 302512 378140 384097 415240 433036 438968 541295 548710 756280 757813 768194 830480 866072 877936 1082590 1097420 1512560 1515626 1536388 1732144 1920485 2165180 2194840 3031252 3072776 3789065 3840970 4005583 4330360 4389680 6062504 6145552 7578130 7681940 8011166 8660720 12125008 15156260 15363880 16022332 20027915 28039081 30312520 30727760 32044664 40055830 56078162 60625040 64089328 80111660 112156324 140195405 160223320 224312648 280390810 320446640 448625296 560781620 1121563240 2243126480