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2153332350 = 235521313633
BaseRepresentation
bin1000000001011001…
…0011111001111110
312120001212121200000
42000112103321332
513402223113400
6553401215130
7104235010611
oct20026237176
95501777600
102153332350
11a05555514
125011914a6
13284171c70
14165db0178
15c909e600
hex80593e7e

2153332350 has 144 divisors (see below), whose sum is σ = 6461534352. Its totient is φ = 530012160.

The previous prime is 2153332333. The next prime is 2153332361. The reversal of 2153332350 is 532333512.

2153332350 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 151134 + ... + 164766.

Almost surely, 22153332350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153332350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230767176).

2153332350 is an abundant number, since it is smaller than the sum of its proper divisors (4308202002).

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

2153332350 is a wasteful number, since it uses less digits than its factorization.

2153332350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13673 (or 13656 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 2153332350 is about 46404.0122187726. The cubic root of 2153332350 is about 1291.3293489390.

Adding to 2153332350 its reverse (532333512), we get a palindrome (2685665862).

The spelling of 2153332350 in words is "two billion, one hundred fifty-three million, three hundred thirty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 90 117 130 135 150 162 195 225 234 243 270 325 351 390 405 450 486 585 650 675 702 810 975 1053 1170 1215 1350 1755 1950 2025 2106 2430 2925 3159 3510 4050 5265 5850 6075 6318 8775 10530 12150 13633 15795 17550 26325 27266 31590 40899 52650 68165 78975 81798 122697 136330 157950 177229 204495 245394 340825 354458 368091 408990 531687 613485 681650 736182 886145 1022475 1063374 1104273 1226970 1595061 1772290 1840455 2044950 2208546 2658435 3067425 3190122 3312819 3680910 4430725 4785183 5316870 5521365 6134850 6625638 7975305 8861450 9202275 9570366 11042730 13292175 14355549 15950610 16564095 18404550 23925915 26584350 27606825 28711098 33128190 39876525 43066647 47851830 55213650 71777745 79753050 82820475 86133294 119629575 143555490 165640950 215333235 239259150 358888725 430666470 717777450 1076666175 2153332350