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540222464 = 2101731033
BaseRepresentation
bin100000001100110…
…010010000000000
31101122112010220102
4200030302100000
52101244104324
6125334501532
716246546415
oct4014622000
91348463812
10540222464
11257a3a151
12130b048a8
1387bc8c82
1451a6610c
1532660dae
hex20332400

540222464 has 44 divisors (see below), whose sum is σ = 1143478764. Its totient is φ = 254214144.

The previous prime is 540222443. The next prime is 540222479. The reversal of 540222464 is 464222045.

It can be written as a sum of positive squares in 2 ways, for example, as 392356864 + 147865600 = 19808^2 + 12160^2 .

It is a super-2 number, since 2×5402224642 = 583680621220462592, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1892 + ... + 32924.

Almost surely, 2540222464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571739382).

540222464 is an abundant number, since it is smaller than the sum of its proper divisors (603256300).

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

540222464 is a wasteful number, since it uses less digits than its factorization.

540222464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31070 (or 31052 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 540222464 is about 23242.6862475059. The cubic root of 540222464 is about 814.4370955887.

The spelling of 540222464 in words is "five hundred forty million, two hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2176 4352 8704 17408 31033 62066 124132 248264 496528 527561 993056 1055122 1986112 2110244 3972224 4220488 7944448 8440976 15888896 16881952 31777792 33763904 67527808 135055616 270111232 540222464