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2229324048 = 243272718161
BaseRepresentation
bin1000010011100000…
…1100100100010000
312202100212101200100
42010320030210100
514031201332143
61005114052400
7106146641010
oct20470144420
95670771610
102229324048
11a44439176
1252271a100
13296b2aa73
14172111c40
15d0ab06d3
hex84e0c910

2229324048 has 120 divisors (see below), whose sum is σ = 7157486336. Its totient is φ = 634521600.

The previous prime is 2229324029. The next prime is 2229324061. The reversal of 2229324048 is 8404239222.

It is a super-2 number, since 2×22293240482 = 9939771421982212608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 269088 + ... + 277248.

Almost surely, 22229324048 is an apocalyptic number.

2229324048 is a gapful number since it is divisible by the number (28) 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 2229324048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578743168).

2229324048 is an abundant number, since it is smaller than the sum of its proper divisors (4928162288).

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

2229324048 is a wasteful number, since it uses less digits than its factorization.

2229324048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8453 (or 8444 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2229324048 is about 47215.7182302673. The cubic root of 2229324048 is about 1306.3445375349.

The spelling of 2229324048 in words is "two billion, two hundred twenty-nine million, three hundred twenty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 271 336 504 542 813 1008 1084 1626 1897 2168 2439 3252 3794 4336 4878 5691 6504 7588 8161 9756 11382 13008 15176 16322 17073 19512 22764 24483 30352 32644 34146 39024 45528 48966 57127 65288 68292 73449 91056 97932 114254 130576 136584 146898 171381 195864 228508 273168 293796 342762 391728 457016 514143 587592 685524 914032 1028286 1175184 1371048 2056572 2211631 2742096 4113144 4423262 6634893 8226288 8846524 13269786 15481417 17693048 19904679 26539572 30962834 35386096 39809358 46444251 53079144 61925668 79618716 92888502 106158288 123851336 139332753 159237432 185777004 247702672 278665506 318474864 371554008 557331012 743108016 1114662024 2229324048