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2235201012 = 22321153281379
BaseRepresentation
bin1000010100111010…
…0111010111110100
312202202220222100200
42011032213113310
514034202413022
61005444040500
7106250616012
oct20516472764
95682828320
102235201012
11a47792670
12524693130
13298107a65
14172c018b2
15d1371bac
hex853a75f4

2235201012 has 144 divisors (see below), whose sum is σ = 6319010880. Its totient is φ = 660441600.

The previous prime is 2235201011. The next prime is 2235201047. The reversal of 2235201012 is 2101025322.

It is a super-2 number, since 2×22352010122 = 9992247128091648288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235201011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5897439 + ... + 5897817.

It is an arithmetic number, because the mean of its divisors is an integer number (43882020).

Almost surely, 22235201012 is an apocalyptic number.

2235201012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2235201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159505440).

2235201012 is an abundant number, since it is smaller than the sum of its proper divisors (4083809868).

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

2235201012 is a wasteful number, since it uses less digits than its factorization.

2235201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2235201012 is about 47277.9125173690. The cubic root of 2235201012 is about 1307.4914626655.

Adding to 2235201012 its reverse (2101025322), we get a palindrome (4336226334).

The spelling of 2235201012 in words is "two billion, two hundred thirty-five million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 132 159 198 212 281 318 379 396 477 562 583 636 758 843 954 1124 1137 1166 1516 1686 1749 1908 2274 2332 2529 3091 3372 3411 3498 4169 4548 5058 5247 6182 6822 6996 8338 9273 10116 10494 12364 12507 13644 14893 16676 18546 20087 20988 25014 27819 29786 37092 37521 40174 44679 50028 55638 59572 60261 75042 80348 89358 106499 111276 120522 134037 150084 163823 178716 180783 212998 220957 241044 268074 319497 327646 361566 425996 441914 491469 536148 638994 655292 662871 723132 883828 958491 982938 1171489 1277988 1325742 1474407 1916982 1965876 1988613 2342978 2651484 2948814 3514467 3833964 3977226 4685956 5644447 5897628 7028934 7954452 10543401 11288894 14057868 16933341 21086802 22577788 33866682 42173604 50800023 62088917 67733364 101600046 124177834 186266751 203200092 248355668 372533502 558800253 745067004 1117600506 2235201012