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2244334820 = 225713532439
BaseRepresentation
bin1000010111000101…
…1101010011100100
312210102010000120212
42011301131103210
514044022203240
61010411514552
7106421350130
oct20561352344
95712100525
102244334820
11a51960a72
12527758a58
13299c85290
141740dc3c0
15d2078165
hex85c5d4e4

2244334820 has 144 divisors (see below), whose sum is σ = 5925722880. Its totient is φ = 695305728.

The previous prime is 2244334787. The next prime is 2244334831. The reversal of 2244334820 is 284334422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5112161 + ... + 5112599.

Almost surely, 22244334820 is an apocalyptic number.

2244334820 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 2244334820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962861440).

2244334820 is an abundant number, since it is smaller than the sum of its proper divisors (3681388060).

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

2244334820 is a wasteful number, since it uses less digits than its factorization.

2244334820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 2244334820 is about 47374.4110253626. The cubic root of 2244334820 is about 1309.2699971011.

The spelling of 2244334820 in words is "two billion, two hundred forty-four million, three hundred thirty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 53 65 70 91 106 130 140 182 212 260 265 364 371 439 455 530 689 742 878 910 1060 1378 1484 1756 1820 1855 2195 2756 2809 3073 3445 3710 4390 4823 5618 5707 6146 6890 7420 8780 9646 11236 11414 12292 13780 14045 15365 19292 19663 22828 23267 24115 28090 28535 30730 36517 39326 39949 46534 48230 56180 57070 61460 73034 78652 79898 93068 96460 98315 114140 116335 146068 159796 162869 182585 196630 199745 232670 255619 302471 325738 365170 393260 399490 465340 511238 604942 651476 730340 798980 814345 1022476 1209884 1233151 1278095 1512355 1628690 2117297 2466302 2556190 3024710 3257380 4234594 4932604 5112380 6049420 6165755 8469188 8632057 10586485 12331510 16030963 17264114 21172970 24663020 32061926 34528228 42345940 43160285 64123852 80154815 86320570 112216741 160309630 172641140 224433482 320619260 448866964 561083705 1122167410 2244334820