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2235204234 = 234171395839
BaseRepresentation
bin1000010100111010…
…1000001010001010
312202202221010210000
42011032220022022
514034203013414
61005444103430
7106250631264
oct20516501212
95682833700
102235204234
11a4779502a
12524694b76
13298109373
14172c02b34
15d1372b09
hex853a828a

2235204234 has 80 divisors (see below), whose sum is σ = 5342198400. Its totient is φ = 696076416.

The previous prime is 2235204233. The next prime is 2235204247. The reversal of 2235204234 is 4324025322.

It is a happy number.

2235204234 is a `hidden beast` number, since 2 + 235 + 2 + 0 + 423 + 4 = 666.

It is a super-2 number, since 2×22352042342 = 9992275935383053512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2235204198 and 2235204207.

It is not an unprimeable number, because it can be changed into a prime (2235204233) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 379887 + ... + 385725.

It is an arithmetic number, because the mean of its divisors is an integer number (66777480).

Almost surely, 22235204234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2235204234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671099200).

2235204234 is an abundant number, since it is smaller than the sum of its proper divisors (3106994166).

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

2235204234 is a wasteful number, since it uses less digits than its factorization.

2235204234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6009 (or 6000 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2235204234 is about 47277.9465924653. The cubic root of 2235204234 is about 1307.4920909066.

Adding to 2235204234 its reverse (4324025322), we get a palindrome (6559229556).

The spelling of 2235204234 in words is "two billion, two hundred thirty-five million, two hundred four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 139 153 162 278 306 417 459 834 918 1251 1377 2363 2502 2754 3753 4726 5839 7089 7506 11259 11678 14178 17517 21267 22518 35034 42534 52551 63801 99263 105102 127602 157653 191403 198526 297789 315306 382806 472959 595578 811621 893367 945918 1623242 1786734 2434863 2680101 4869726 5360202 7304589 8040303 13797557 14609178 16080606 21913767 27595114 41392671 43827534 65741301 82785342 124178013 131482602 248356026 372534039 745068078 1117602117 2235204234