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2242153340 = 225753449673
BaseRepresentation
bin1000010110100100…
…1000101101111100
312210021000012011022
42011221020231330
514042442401330
61010253043312
7106363663130
oct20551105574
95707005138
102242153340
11a50700a99
12526a86538
132996a036b
14173ad13c0
15d1c96ae5
hex85a48b7c

2242153340 has 96 divisors (see below), whose sum is σ = 5503075200. Its totient is φ = 751435776.

The previous prime is 2242153313. The next prime is 2242153373. The reversal of 2242153340 is 433512422.

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, 3331244 + ... + 3331916.

It is an arithmetic number, because the mean of its divisors is an integer number (57323700).

Almost surely, 22242153340 is an apocalyptic number.

2242153340 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 2242153340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751537600).

2242153340 is an abundant number, since it is smaller than the sum of its proper divisors (3260921860).

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

2242153340 is a wasteful number, since it uses less digits than its factorization.

2242153340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 2242153340 is about 47351.3816060313. The cubic root of 2242153340 is about 1308.8456587220.

Adding to 2242153340 its reverse (433512422), we get a palindrome (2675665762).

The spelling of 2242153340 in words is "two billion, two hundred forty-two million, one hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 449 530 673 742 898 1060 1346 1484 1796 1855 2245 2692 3143 3365 3710 4490 4711 6286 6730 7420 8980 9422 12572 13460 15715 18844 23555 23797 31430 35669 47110 47594 62860 71338 94220 95188 118985 142676 166579 178345 237970 249683 302177 333158 356690 475940 499366 604354 666316 713380 832895 998732 1208708 1248415 1510885 1665790 2115239 2496830 3021770 3331580 4230478 4993660 6043540 8460956 10576195 16015381 21152390 32030762 42304780 64061524 80076905 112107667 160153810 224215334 320307620 448430668 560538335 1121076670 2242153340