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2142224520 = 233537482483
BaseRepresentation
bin111111110101111…
…1100000010001000
312112021222021120220
41333223330002020
513341402141040
6552323150040
7104041415352
oct17753740210
95467867526
102142224520
119aa258a97
124b9515320
13281a83097
1416471c0d2
15c81082d0
hex7fafc088

2142224520 has 64 divisors (see below), whose sum is σ = 6600381120. Its totient is φ = 555819264.

The previous prime is 2142224503. The next prime is 2142224561. The reversal of 2142224520 is 254222412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236802 + ... + 245681.

It is an arithmetic number, because the mean of its divisors is an integer number (103130955).

Almost surely, 22142224520 is an apocalyptic number.

2142224520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142224520 is an abundant number, since it is smaller than the sum of its proper divisors (4458156600).

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

2142224520 is a wasteful number, since it uses less digits than its factorization.

2142224520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482534 (or 482530 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2142224520 is about 46284.1713764004. The cubic root of 2142224520 is about 1289.1051061605.

Adding to 2142224520 its reverse (254222412), we get a palindrome (2396446932).

The spelling of 2142224520 in words is "two billion, one hundred forty-two million, two hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 482483 964966 1447449 1929932 2412415 2894898 3859864 4824830 5789796 7237245 9649660 11579592 14474490 17851871 19299320 28948980 35703742 53555613 57897960 71407484 89259355 107111226 142814968 178518710 214222452 267778065 357037420 428444904 535556130 714074840 1071112260 2142224520