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2226232080 = 243354721929
BaseRepresentation
bin1000010010110001…
…1001101100010000
312202011001022022000
42010230121230100
514024403411310
61004523514000
7106111442352
oct20454315420
95664038260
102226232080
11a42717126
12521688900
132962b75b7
141719490d2
15d069e4c0
hex84b19b10

2226232080 has 160 divisors (see below), whose sum is σ = 7831641600. Its totient is φ = 581004288.

The previous prime is 2226232069. The next prime is 2226232081. The reversal of 2226232080 is 802326222.

It is a happy number.

2226232080 is a `hidden beast` number, since 2 + 2 + 262 + 320 + 80 = 666.

It is a super-2 number, since 2×22262320802 = 9912218548042252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2226232081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90556 + ... + 112484.

It is an arithmetic number, because the mean of its divisors is an integer number (48947760).

Almost surely, 22226232080 is an apocalyptic number.

2226232080 is a gapful number since it is divisible by the number (20) 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 2226232080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915820800).

2226232080 is an abundant number, since it is smaller than the sum of its proper divisors (5605409520).

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

2226232080 is a wasteful number, since it uses less digits than its factorization.

2226232080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21998 (or 21986 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2226232080 is about 47182.9638746868. The cubic root of 2226232080 is about 1305.7403118828.

The spelling of 2226232080 in words is "two billion, two hundred twenty-six million, two hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 47 48 54 60 72 80 90 94 108 120 135 141 144 180 188 216 235 240 270 282 360 376 423 432 470 540 564 705 720 752 846 940 1080 1128 1269 1410 1692 1880 2115 2160 2256 2538 2820 3384 3760 4230 5076 5640 6345 6768 8460 10152 11280 12690 16920 20304 21929 25380 33840 43858 50760 65787 87716 101520 109645 131574 175432 197361 219290 263148 328935 350864 394722 438580 526296 592083 657870 789444 877160 986805 1030663 1052592 1184166 1315740 1578888 1754320 1973610 2061326 2368332 2631480 2960415 3091989 3157776 3947220 4122652 4736664 5153315 5262960 5920830 6183978 7894440 8245304 9275967 9473328 10306630 11841660 12367956 15459945 15788880 16490608 18551934 20613260 23683320 24735912 27827901 30919890 37103868 41226520 46379835 47366640 49471824 55655802 61839780 74207736 82453040 92759670 111311604 123679560 139139505 148415472 185519340 222623208 247359120 278279010 371038680 445246416 556558020 742077360 1113116040 2226232080