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2051422240 = 25572534937
BaseRepresentation
bin111101001000110…
…0011100000100000
312021222010001021111
41322101203200200
513200131002430
6535321033104
7101556541600
oct17221434040
95258101244
102051422240
11962a7998a
12493025794
1326900cc1a
14156642c00
15c016dc2a
hex7a463820

2051422240 has 144 divisors (see below), whose sum is σ = 5745283992. Its totient is φ = 689934336.

The previous prime is 2051422169. The next prime is 2051422291. The reversal of 2051422240 is 422241502.

It can be written as a sum of positive squares in 4 ways, for example, as 1766352784 + 285069456 = 42028^2 + 16884^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413052 + ... + 417988.

Almost surely, 22051422240 is an apocalyptic number.

2051422240 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 2051422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872641996).

2051422240 is an abundant number, since it is smaller than the sum of its proper divisors (3693861752).

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

2051422240 is a wasteful number, since it uses less digits than its factorization.

2051422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2051422240 is about 45292.6289808839. The cubic root of 2051422240 is about 1270.6278004638.

Adding to 2051422240 its reverse (422241502), we get a palindrome (2473663742).

The spelling of 2051422240 in words is "two billion, fifty-one million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 53 56 70 80 98 106 112 140 160 196 212 224 245 265 280 371 392 424 490 530 560 742 784 848 980 1060 1120 1484 1568 1696 1855 1960 2120 2597 2968 3710 3920 4240 4937 5194 5936 7420 7840 8480 9874 10388 11872 12985 14840 19748 20776 24685 25970 29680 34559 39496 41552 49370 51940 59360 69118 78992 83104 98740 103880 138236 157984 172795 197480 207760 241913 261661 276472 345590 394960 415520 483826 523322 552944 691180 789920 967652 1046644 1105888 1209565 1308305 1382360 1831627 1935304 2093288 2419130 2616610 2764720 3663254 3870608 4186576 4838260 5233220 5529440 7326508 7741216 8373152 9158135 9676520 10466440 12821389 14653016 18316270 19353040 20932880 25642778 29306032 36632540 38706080 41865760 51285556 58612064 64106945 73265080 102571112 128213890 146530160 205142224 256427780 293060320 410284448 512855560 1025711120 2051422240