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3221429087556 = 2234997132
BaseRepresentation
bin101110111000001100001…
…000101110110101000100
3102101222001221011101210000
4232320030020232311010
5410234441321300211
610503523141201300
7451512005306031
oct56701410566504
912358057141700
103221429087556
111032222812599
12440402100230
131a4a1961b034
14b1cbcdc4388
1558be4122656
hex2ee0c22ed44

3221429087556 has 45 divisors (see below), whose sum is σ = 8421536424301. Its totient is φ = 1073798926848.

The previous prime is 3221429087549. The next prime is 3221429087563. The reversal of 3221429087556 is 6557809241223.

The square root of 3221429087556 is 1794834.

It is a perfect power (a square), and thus also a powerful number.

3221429087556 is a `hidden beast` number, since 3 + 2 + 2 + 1 + 4 + 2 + 9 + 0 + 87 + 556 = 666.

It is an interprime number because it is at equal distance from previous prime (3221429087549) and next prime (3221429087563).

It can be written as a sum of positive squares in only one way, i.e., 625412088900 + 2596016998656 = 790830^2 + 1611216^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 32257156 + ... + 32356868.

It is a 1-persistent number, because it is pandigital, but 2⋅3221429087556 = 6442858175112 is not.

Almost surely, 23221429087556 is an apocalyptic number.

3221429087556 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3221429087556 is the 1794834-th square number.

It is an amenable number.

3221429087556 is an abundant number, since it is smaller than the sum of its proper divisors (5200107336745).

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

3221429087556 is an frugal number, since it uses more digits than its factorization.

3221429087556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199442 (or 99718 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 3221429087556 in words is "three trillion, two hundred twenty-one billion, four hundred twenty-nine million, eighty-seven thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 99713 199426 299139 398852 598278 897417 1196556 1794834 2692251 3589668 5384502 8076753 10769004 16153506 32307012 9942682369 19885364738 29828047107 39770729476 59656094214 89484141321 119312188428 178968282642 268452423963 357936565284 536904847926 805357271889 1073809695852 1610714543778 3221429087556