Search a number
-
+
2102302332 = 22321371151419
BaseRepresentation
bin111110101001110…
…1001011001111100
312102111212000122100
41331103221121330
513301142133312
6544335345100
7103045163214
oct17523513174
95374760570
102102302332
11989770949
124a8082190
13276715aa0
1415d2c9244
15c486e5dc
hex7d4e967c

2102302332 has 144 divisors (see below), whose sum is σ = 5855915520. Its totient is φ = 632016000.

The previous prime is 2102302313. The next prime is 2102302351. The reversal of 2102302332 is 2332032012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2102302313) and next prime (2102302351).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5017219 + ... + 5017637.

It is an arithmetic number, because the mean of its divisors is an integer number (40666080).

Almost surely, 22102302332 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 2102302332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927957760).

2102302332 is an abundant number, since it is smaller than the sum of its proper divisors (3753613188).

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

2102302332 is a wasteful number, since it uses less digits than its factorization.

2102302332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 659 counting only the distinct ones).

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

The square root of 2102302332 is about 45850.8705697067. The cubic root of 2102302332 is about 1281.0469811120.

Adding to 2102302332 its reverse (2332032012), we get a palindrome (4434334344).

The spelling of 2102302332 in words is "two billion, one hundred two million, three hundred two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 151 156 213 234 284 302 419 426 453 468 604 639 838 852 906 923 1257 1278 1359 1676 1812 1846 1963 2514 2556 2718 2769 3692 3771 3926 5028 5436 5447 5538 5889 7542 7852 8307 10721 10894 11076 11778 15084 16341 16614 17667 21442 21788 23556 29749 32163 32682 33228 35334 42884 49023 59498 63269 64326 65364 70668 89247 96489 98046 118996 126538 128652 139373 178494 189807 192978 196092 253076 267741 278746 356988 379614 385956 386737 418119 535482 557492 569421 759228 773474 822497 836238 1070964 1138842 1160211 1254357 1546948 1644994 1672476 2277684 2320422 2467491 2508714 3289988 3480633 4492099 4640844 4934982 5017428 6961266 7402473 8984198 9869964 13476297 13922532 14804946 17968396 26952594 29609892 40428891 53905188 58397287 80857782 116794574 161715564 175191861 233589148 350383722 525575583 700767444 1051151166 2102302332