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2191954096 = 242329293701
BaseRepresentation
bin1000001010100110…
…1001000010110000
312122202112210202001
42002221221002300
513442120012341
61001301103344
7105214205503
oct20251510260
95582483661
102191954096
11a25334612
125120b7b54
1328c175377
1416b18513a
15cc67cd31
hex82a690b0

2191954096 has 80 divisors (see below), whose sum is σ = 4606580160. Its totient is φ = 1007283200.

The previous prime is 2191954091. The next prime is 2191954097. The reversal of 2191954096 is 6904591912.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (2191954091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3126546 + ... + 3127246.

It is an arithmetic number, because the mean of its divisors is an integer number (57582252).

Almost surely, 22191954096 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 2191954096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303290080).

2191954096 is an abundant number, since it is smaller than the sum of its proper divisors (2414626064).

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

2191954096 is a wasteful number, since it uses less digits than its factorization.

2191954096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The square root of 2191954096 is about 46818.3094098879. The cubic root of 2191954096 is about 1299.0039897527.

The spelling of 2191954096 in words is "two billion, one hundred ninety-one million, nine hundred fifty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 232 293 368 464 586 667 701 1172 1334 1402 2344 2668 2804 4688 5336 5608 6739 8497 10672 11216 13478 16123 16994 20329 26956 32246 33988 40658 53912 64492 67976 81316 107824 128984 135952 162632 195431 205393 257968 325264 390862 410786 467567 781724 821572 935134 1563448 1643144 1870268 3126896 3286288 3740536 4724039 5956397 7481072 9448078 11912794 18896156 23825588 37792312 47651176 75584624 95302352 136997131 273994262 547988524 1095977048 2191954096