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2244680240 = 2451131107769
BaseRepresentation
bin1000010111001011…
…0001101000110000
312210102202120102012
42011302301220300
514044114231430
61010423142052
7106424316155
oct20562615060
95712676365
102244680240
11a52077540
125278a4928
1329a07657a
1417418c22c
15d20e5695
hex85cb1a30

2244680240 has 160 divisors (see below), whose sum is σ = 5939619840. Its totient is φ = 781516800.

The previous prime is 2244680203. The next prime is 2244680267. The reversal of 2244680240 is 420864422.

It is a junction number, because it is equal to n+sod(n) for n = 2244680197 and 2244680206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2918576 + ... + 2919344.

It is an arithmetic number, because the mean of its divisors is an integer number (37122624).

Almost surely, 22244680240 is an apocalyptic number.

2244680240 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 2244680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969809920).

2244680240 is an abundant number, since it is smaller than the sum of its proper divisors (3694939600).

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

2244680240 is a wasteful number, since it uses less digits than its factorization.

2244680240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

The square root of 2244680240 is about 47378.0565240914. The cubic root of 2244680240 is about 1309.3371624870.

The spelling of 2244680240 in words is "two billion, two hundred forty-four million, six hundred eighty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 107 110 124 155 176 214 220 248 310 341 428 440 496 535 620 682 769 856 880 1070 1177 1240 1364 1538 1705 1712 2140 2354 2480 2728 3076 3317 3410 3845 4280 4708 5456 5885 6152 6634 6820 7690 8459 8560 9416 11770 12304 13268 13640 15380 16585 16918 18832 23540 23839 26536 27280 30760 33170 33836 36487 42295 47080 47678 53072 61520 66340 67672 72974 82283 84590 94160 95356 119195 132680 135344 145948 164566 169180 182435 190712 238390 262229 265360 291896 329132 338360 364870 381424 411415 476780 524458 583792 658264 676720 729740 822830 905113 953560 1048916 1311145 1316528 1459480 1645660 1810226 1907120 2097832 2550773 2622290 2918960 3291320 3620452 4195664 4525565 5101546 5244580 6582640 7240904 9051130 10203092 10489160 12753865 14481808 18102260 20406184 20978320 25507730 28058503 36204520 40812368 51015460 56117006 72409040 102030920 112234012 140292515 204061840 224468024 280585030 448936048 561170060 1122340120 2244680240