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2256350004 = 2232312577867
BaseRepresentation
bin1000011001111101…
…0010101100110100
312211020201110022200
42012133102230310
514110111200004
61011521224500
7106625441616
oct20637225464
95736643280
102256350004
11a58718177
1252b792130
1329c60115c
14175948db6
15d314d239
hex867d2b34

2256350004 has 72 divisors (see below), whose sum is σ = 5911196928. Its totient is φ = 724930560.

The previous prime is 2256350003. The next prime is 2256350027. The reversal of 2256350004 is 4000536522.

2256350004 is a `hidden beast` number, since 2 + 25 + 635 + 0 + 0 + 0 + 4 = 666.

2256350004 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22563500042 = 10182230681101600032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2256350004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256350003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282879 + ... + 290745.

Almost surely, 22256350004 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 2256350004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955598464).

2256350004 is an abundant number, since it is smaller than the sum of its proper divisors (3654846924).

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

2256350004 is a wasteful number, since it uses less digits than its factorization.

2256350004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8165 (or 8160 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2256350004 is about 47501.0526620200. The cubic root of 2256350004 is about 1311.6022591255.

Adding to 2256350004 its reverse (4000536522), we get a palindrome (6256886526).

The spelling of 2256350004 in words is "two billion, two hundred fifty-six million, three hundred fifty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 257 279 372 514 558 771 1028 1116 1542 2313 3084 4626 7867 7967 9252 15734 15934 23601 23901 31468 31868 47202 47802 70803 71703 94404 95604 141606 143406 243877 283212 286812 487754 731631 975508 1463262 2021819 2194893 2926524 4043638 4389786 6065457 8087276 8779572 12130914 18196371 24261828 36392742 62676389 72785484 125352778 188029167 250705556 376058334 564087501 752116668 1128175002 2256350004