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2213100032 = 291113167181
BaseRepresentation
bin1000001111101001…
…0011101000000000
312201020100010111212
42003322103220000
514013023200112
61003334225252
7105562016453
oct20372235000
95636303455
102213100032
11a362678a0
125191b5228
1329366a260
1416dccb49a
15ce458522
hex83e93a00

2213100032 has 160 divisors (see below), whose sum is σ = 5254913664. Its totient is φ = 917913600.

The previous prime is 2213100023. The next prime is 2213100041. The reversal of 2213100032 is 2300013122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2213100023) and next prime (2213100041).

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, 12226982 + ... + 12227162.

Almost surely, 22213100032 is an apocalyptic number.

2213100032 is a gapful number since it is divisible by the number (22) 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 2213100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627456832).

2213100032 is an abundant number, since it is smaller than the sum of its proper divisors (3041813632).

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

2213100032 is a wasteful number, since it uses less digits than its factorization.

2213100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2213100032 is about 47043.5971413751. The cubic root of 2213100032 is about 1303.1678231375.

Adding to 2213100032 its reverse (2300013122), we get a palindrome (4513113154).

The spelling of 2213100032 in words is "two billion, two hundred thirteen million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 167 176 181 208 256 286 334 352 362 416 512 572 668 704 724 832 1144 1336 1408 1448 1664 1837 1991 2171 2288 2353 2672 2816 2896 3328 3674 3982 4342 4576 4706 5344 5632 5792 6656 7348 7964 8684 9152 9412 10688 11584 14696 15928 17368 18304 18824 21376 23168 23881 25883 29392 30227 31856 34736 36608 37648 42752 46336 47762 51766 58784 60454 63712 69472 73216 75296 85504 92672 95524 103532 117568 120908 127424 138944 150592 191048 207064 235136 241816 254848 277888 301184 332497 382096 392951 414128 470272 483632 509696 555776 602368 664994 764192 785902 828256 940544 967264 1019392 1111552 1204736 1329988 1528384 1571804 1656512 1934528 2659976 3056768 3143608 3313024 3869056 4322461 5319952 6113536 6287216 6626048 7738112 8644922 10639904 12227072 12574432 13252096 15476224 17289844 21279808 25148864 34579688 42559616 50297728 69159376 85119232 100595456 138318752 170238464 201190912 276637504 553275008 1106550016 2213100032