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2254096404 = 223378335923
BaseRepresentation
bin1000011001011010…
…1100100000010100
312211002110221222000
42012112230200110
514104022041104
61011401035300
7106600334430
oct20626544024
95732427860
102254096404
11a57418a9a
1252aa85b30
1329bcc2471
1417551d9c0
15d2d55639
hex865ac814

2254096404 has 96 divisors (see below), whose sum is σ = 6759459840. Its totient is φ = 636250464.

The previous prime is 2254096399. The next prime is 2254096417. The reversal of 2254096404 is 4046904522.

2254096404 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 0 + 9 + 640 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44787 + ... + 80709.

It is an arithmetic number, because the mean of its divisors is an integer number (70411040).

Almost surely, 22254096404 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 2254096404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379729920).

2254096404 is an abundant number, since it is smaller than the sum of its proper divisors (4505363436).

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

2254096404 is a wasteful number, since it uses less digits than its factorization.

2254096404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36026 (or 36018 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2254096404 is about 47477.3251563312. The cubic root of 2254096404 is about 1311.1654457666.

The spelling of 2254096404 in words is "two billion, two hundred fifty-four million, ninety-six thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 83 84 108 126 166 189 249 252 332 378 498 581 747 756 996 1162 1494 1743 2241 2324 2988 3486 4482 5229 6972 8964 10458 15687 20916 31374 35923 62748 71846 107769 143692 215538 251461 323307 431076 502922 646614 754383 969921 1005844 1293228 1508766 1939842 2263149 2981609 3017532 3879684 4526298 5963218 6789447 8944827 9052596 11926436 13578894 17889654 20871263 26834481 27157788 35779308 41742526 53668962 62613789 80503443 83485052 107337924 125227578 161006886 187841367 250455156 322013772 375682734 563524101 751365468 1127048202 2254096404