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6022199872 = 2613193112289
BaseRepresentation
bin1011001101111001…
…10111101001000000
3120112200211110011201
411212330313221000
544313140343442
62433324350544
7302143566013
oct54674675100
916480743151
106022199872
112610413997
1212009a5454
1374c86c5a0
14411b4b37a
15253a707b7
hex166f37a40

6022199872 has 112 divisors (see below), whose sum is σ = 13985036800. Its totient is φ = 2548039680.

The previous prime is 6022199849. The next prime is 6022199879. The reversal of 6022199872 is 2789912206.

It is not an unprimeable number, because it can be changed into a prime (6022199879) by changing a digit.

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, 483904 + ... + 496192.

It is an arithmetic number, because the mean of its divisors is an integer number (124866400).

Almost surely, 26022199872 is an apocalyptic number.

6022199872 is a gapful number since it is divisible by the number (62) 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 6022199872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992518400).

6022199872 is an abundant number, since it is smaller than the sum of its proper divisors (7962836928).

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

6022199872 is a wasteful number, since it uses less digits than its factorization.

6022199872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12364 (or 12354 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 6022199872 is about 77602.8341750480. The cubic root of 6022199872 is about 1819.3589369653.

The spelling of 6022199872 in words is "six billion, twenty-two million, one hundred ninety-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 19 26 31 32 38 52 62 64 76 104 124 152 208 247 248 304 403 416 494 496 589 608 806 832 988 992 1178 1216 1612 1976 1984 2356 3224 3952 4712 6448 7657 7904 9424 12289 12896 15314 15808 18848 24578 25792 30628 37696 49156 61256 98312 122512 159757 196624 233491 245024 319514 380959 393248 466982 490048 639028 761918 786496 933964 1278056 1523836 1867928 2556112 3035383 3047672 3735856 4952467 5112224 6070766 6095344 7238221 7471712 9904934 10224448 12141532 12190688 14476442 14943424 19809868 24283064 24381376 28952884 39619736 48566128 57905768 79239472 94096873 97132256 115811536 158478944 188193746 194264512 231623072 316957888 376387492 463246144 752774984 1505549968 3011099936 6022199872