Search a number
-
+
2231212032 = 21132717293
BaseRepresentation
bin1000010011111101…
…1001100000000000
312202111102022111200
42010333121200000
514032142241112
61005222341200
7106201663230
oct20477314000
95674368450
102231212032
11a45508695
1252328a800
1329733c20a
14172483cc0
15d0d34cdc
hex84fd9800

2231212032 has 144 divisors (see below), whose sum is σ = 7365168720. Its totient is φ = 637452288.

The previous prime is 2231212021. The next prime is 2231212069. The reversal of 2231212032 is 2302121322.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×22312120323 (a number of 29 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2231211996 and 2231212014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120378 + ... + 137670.

It is an arithmetic number, because the mean of its divisors is an integer number (51147005).

Almost surely, 22231212032 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 2231212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682584360).

2231212032 is an abundant number, since it is smaller than the sum of its proper divisors (5133956688).

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

2231212032 is a wasteful number, since it uses less digits than its factorization.

2231212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17328 (or 17305 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2231212032 is about 47235.7071715879. The cubic root of 2231212032 is about 1306.7132085787.

Adding to 2231212032 its reverse (2302121322), we get a palindrome (4533333354).

The spelling of 2231212032 in words is "two billion, two hundred thirty-one million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5376 6144 7168 8064 9216 10752 14336 16128 17293 18432 21504 32256 34586 43008 51879 64512 69172 103758 121051 129024 138344 155637 207516 242102 276688 311274 363153 415032 484204 553376 622548 726306 830064 968408 1089459 1106752 1245096 1452612 1660128 1936816 2178918 2213504 2490192 2905224 3320256 3873632 4357836 4427008 4980384 5810448 6640512 7747264 8715672 8854016 9960768 11620896 13281024 15494528 17431344 17708032 19921536 23241792 26562048 30989056 34862688 35416064 39843072 46483584 53124096 61978112 69725376 79686144 92967168 106248192 123956224 139450752 159372288 185934336 247912448 278901504 318744576 371868672 557803008 743737344 1115606016 2231212032