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2242438520 = 2357193071373
BaseRepresentation
bin1000010110101000…
…1110010101111000
312210021112200100112
42011222032111320
514043031013040
61010303123452
7106366261430
oct20552162570
95707480315
102242438520
11a50886283
12526ba3588
132997700ca
14173b672c0
15d1d01365
hex85a8e578

2242438520 has 128 divisors (see below), whose sum is σ = 6093964800. Its totient is φ = 725469696.

The previous prime is 2242438493. The next prime is 2242438529. The reversal of 2242438520 is 258342422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242438529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1632554 + ... + 1633926.

It is an arithmetic number, because the mean of its divisors is an integer number (47609100).

Almost surely, 22242438520 is an apocalyptic number.

2242438520 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 2242438520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046982400).

2242438520 is an abundant number, since it is smaller than the sum of its proper divisors (3851526280).

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

2242438520 is a wasteful number, since it uses less digits than its factorization.

2242438520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 2242438520 is about 47354.3928268540. The cubic root of 2242438520 is about 1308.9011471631.

The spelling of 2242438520 in words is "two billion, two hundred forty-two million, four hundred thirty-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 307 380 532 614 665 760 1064 1228 1330 1373 1535 2149 2456 2660 2746 3070 4298 5320 5492 5833 6140 6865 8596 9611 10745 10984 11666 12280 13730 17192 19222 21490 23332 26087 27460 29165 38444 40831 42980 46664 48055 52174 54920 58330 76888 81662 85960 96110 104348 116660 130435 163324 182609 192220 204155 208696 233320 260870 326648 365218 384440 408310 421511 521740 730436 816620 843022 913045 1043480 1460872 1633240 1686044 1826090 2107555 2950577 3372088 3652180 4215110 5901154 7304360 8008709 8430220 11802308 14752885 16017418 16860440 23604616 29505770 32034836 40043545 56060963 59011540 64069672 80087090 112121926 118023080 160174180 224243852 280304815 320348360 448487704 560609630 1121219260 2242438520