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2266012128 = 253471732903
BaseRepresentation
bin1000011100010000…
…1001100111100000
312211220220100021010
42013010021213200
514120044342003
61012504300520
7110103533232
oct20704114740
95756810233
102266012128
11a631174a6
12532a71740
132a1604ca3
14176d42252
15d3e0b003
hex871099e0

2266012128 has 96 divisors (see below), whose sum is σ = 6112060416. Its totient is φ = 734739968.

The previous prime is 2266012117. The next prime is 2266012139. The reversal of 2266012128 is 8212106622.

It is an interprime number because it is at equal distance from previous prime (2266012117) and next prime (2266012139).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2266012095 and 2266012104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779125 + ... + 782027.

It is an arithmetic number, because the mean of its divisors is an integer number (63667296).

Almost surely, 22266012128 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 2266012128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056030208).

2266012128 is an abundant number, since it is smaller than the sum of its proper divisors (3846048288).

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

2266012128 is a wasteful number, since it uses less digits than its factorization.

2266012128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2266012128 is about 47602.6483296885. The cubic root of 2266012128 is about 1313.4717707030.

The spelling of 2266012128 in words is "two billion, two hundred sixty-six million, twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 173 188 282 346 376 519 564 692 752 1038 1128 1384 1504 2076 2256 2768 2903 4152 4512 5536 5806 8131 8304 8709 11612 16262 16608 17418 23224 24393 32524 34836 46448 48786 65048 69672 92896 97572 130096 136441 139344 195144 260192 272882 278688 390288 409323 502219 545764 780576 818646 1004438 1091528 1506657 1637292 2008876 2183056 3013314 3274584 4017752 4366112 6026628 6549168 8035504 12053256 13098336 16071008 23604293 24106512 47208586 48213024 70812879 94417172 141625758 188834344 283251516 377668688 566503032 755337376 1133006064 2266012128