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2191349504 = 28172997179
BaseRepresentation
bin1000001010011101…
…0101011100000000
312122201102002101202
42002213111130000
513441441141004
61001240120332
7105206110031
oct20247253400
95581362352
102191349504
11a24a61353
12511a660a8
1328bcc3116
1416b068a88
15cc5adb1e
hex829d5700

2191349504 has 144 divisors (see below), whose sum is σ = 4867581600. Its totient is φ = 979894272.

The previous prime is 2191349473. The next prime is 2191349507. The reversal of 2191349504 is 4059431912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2191349507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12242087 + ... + 12242265.

It is an arithmetic number, because the mean of its divisors is an integer number (33802650).

Almost surely, 22191349504 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 2191349504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433790800).

2191349504 is an abundant number, since it is smaller than the sum of its proper divisors (2676232096).

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

2191349504 is a wasteful number, since it uses less digits than its factorization.

2191349504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 2191349504 is about 46811.8521744227. The cubic root of 2191349504 is about 1298.8845469170.

It can be divided in two parts, 21913 and 49504, that added together give a palindrome (71417).

The spelling of 2191349504 in words is "two billion, one hundred ninety-one million, three hundred forty-nine thousand, five hundred four".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 97 116 128 136 179 194 232 256 272 358 388 464 493 544 716 776 928 986 1088 1432 1552 1649 1856 1972 2176 2813 2864 3043 3104 3298 3712 3944 4352 5191 5626 5728 6086 6208 6596 7424 7888 10382 11252 11456 12172 12416 13192 15776 17363 20764 22504 22912 24344 24832 26384 31552 34726 41528 45008 45824 47821 48688 52768 63104 69452 83056 88247 90016 95642 97376 105536 126208 138904 166112 176494 180032 191284 194752 211072 277808 295171 332224 352988 360064 382568 389504 422144 503527 555616 590342 664448 705976 720128 765136 779008 1007054 1111232 1180684 1328896 1411952 1530272 2014108 2222464 2361368 2823904 3060544 4028216 4444928 4722736 5647808 6121088 8056432 8559959 9445472 11295616 12242176 16112864 17119918 18890944 22591232 32225728 34239836 37781888 64451456 68479672 75563776 128902912 136959344 273918688 547837376 1095674752 2191349504