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2230021332 = 22327113125951
BaseRepresentation
bin1000010011101011…
…0110110011010100
312202102011211011200
42010322312303110
514031341140312
61005141032500
7106155603630
oct20472666324
95672154150
102230021332
11a44875040
125229b5730
13297013266
14172253dc0
15d0b9c0dc
hex84eb6cd4

2230021332 has 144 divisors (see below), whose sum is σ = 7254933504. Its totient is φ = 560520000.

The previous prime is 2230021247. The next prime is 2230021333. The reversal of 2230021332 is 2331200322.

It is a happy number.

2230021332 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 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 (2230021333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72957 + ... + 98907.

Almost surely, 22230021332 is an apocalyptic number.

2230021332 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 2230021332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627466752).

2230021332 is an abundant number, since it is smaller than the sum of its proper divisors (5024912172).

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

2230021332 is a wasteful number, since it uses less digits than its factorization.

2230021332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26010 (or 26005 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2230021332 is about 47223.1016770394. The cubic root of 2230021332 is about 1306.4807220423.

Adding to 2230021332 its reverse (2331200322), we get a palindrome (4561221654).

The spelling of 2230021332 in words is "two billion, two hundred thirty million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 31 33 36 42 44 62 63 66 77 84 93 99 124 126 132 154 186 198 217 231 252 279 308 341 372 396 434 462 558 651 682 693 868 924 1023 1116 1302 1364 1386 1953 2046 2387 2604 2772 3069 3906 4092 4774 6138 7161 7812 9548 12276 14322 21483 25951 28644 42966 51902 77853 85932 103804 155706 181657 233559 285461 311412 363314 467118 544971 570922 726628 804481 856383 934236 1089942 1141844 1608962 1634913 1712766 1998227 2179884 2413443 2569149 3217924 3269826 3425532 3996454 4826886 5138298 5631367 5994681 6539652 7240329 7992908 8849291 9653772 10276596 11262734 11989362 14480658 16894101 17698582 17984043 22525468 23978724 26547873 28961316 33788202 35397164 35968086 50682303 53095746 61945037 67576404 71936172 79643619 101364606 106191492 123890074 159287238 185835111 202729212 247780148 318574476 371670222 557505333 743340444 1115010666 2230021332