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2244774480 = 2435133123209
BaseRepresentation
bin1000010111001100…
…1000101001010000
312210102221100200120
42011303020221100
514044130240410
61010425150240
7106425161004
oct20563105120
95712840616
102244774480
11a52131323
1252792b380
1329a0aa430
141741b4704
15d2113570
hex85cc8a50

2244774480 has 160 divisors (see below), whose sum is σ = 7736171520. Its totient is φ = 534712320.

The previous prime is 2244774443. The next prime is 2244774491. The reversal of 2244774480 is 844774422.

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, 85116 + ... + 108324.

It is an arithmetic number, because the mean of its divisors is an integer number (48351072).

Almost surely, 22244774480 is an apocalyptic number.

2244774480 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 2244774480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868085760).

2244774480 is an abundant number, since it is smaller than the sum of its proper divisors (5491397040).

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

2244774480 is a wasteful number, since it uses less digits than its factorization.

2244774480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23269 (or 23263 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 42.

The square root of 2244774480 is about 47379.0510669009. The cubic root of 2244774480 is about 1309.3554858403.

The spelling of 2244774480 in words is "two billion, two hundred forty-four million, seven hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 31 39 40 48 52 60 62 65 78 80 93 104 120 124 130 155 156 186 195 208 240 248 260 310 312 372 390 403 465 496 520 620 624 744 780 806 930 1040 1209 1240 1488 1560 1612 1860 2015 2418 2480 3120 3224 3720 4030 4836 6045 6448 7440 8060 9672 12090 16120 19344 23209 24180 32240 46418 48360 69627 92836 96720 116045 139254 185672 232090 278508 301717 348135 371344 464180 557016 603434 696270 719479 905151 928360 1114032 1206868 1392540 1438958 1508585 1810302 1856720 2158437 2413736 2785080 2877916 3017170 3597395 3620604 4316874 4525755 4827472 5570160 5755832 6034340 7194790 7241208 8633748 9051510 9353227 10792185 11511664 12068680 14389580 14482416 17267496 18103020 18706454 21584370 24137360 28059681 28779160 34534992 36206040 37412908 43168740 46766135 56119362 57558320 72412080 74825816 86337480 93532270 112238724 140298405 149651632 172674960 187064540 224477448 280596810 374129080 448954896 561193620 748258160 1122387240 2244774480