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1102214232 = 2332721512069
BaseRepresentation
bin100000110110010…
…0111010001011000
32211211000021200100
41001230213101120
54224131323412
6301212135400
736212444400
oct10154472130
92754007610
101102214232
11516197959
12269167560
13147477792
14a6557800
1566b71edc
hex41b27458

1102214232 has 144 divisors (see below), whose sum is σ = 3497223600. Its totient is φ = 312681600.

The previous prime is 1102214209. The next prime is 1102214233. The reversal of 1102214232 is 2324122011.

It is a happy number.

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 (1102214233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 531694 + ... + 533762.

It is an arithmetic number, because the mean of its divisors is an integer number (24286275).

Almost surely, 21102214232 is an apocalyptic number.

1102214232 is a gapful number since it is divisible by the number (12) 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 1102214232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748611800).

1102214232 is an abundant number, since it is smaller than the sum of its proper divisors (2395009368).

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

1102214232 is a wasteful number, since it uses less digits than its factorization.

1102214232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1102214232 is about 33199.6119254427. The cubic root of 1102214232 is about 1032.9722899154.

Adding to 1102214232 its reverse (2324122011), we get a palindrome (3426336243).

The spelling of 1102214232 in words is "one billion, one hundred two million, two hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 151 168 196 252 294 302 392 441 453 504 588 604 882 906 1057 1176 1208 1359 1764 1812 2069 2114 2718 3171 3528 3624 4138 4228 5436 6207 6342 7399 8276 8456 9513 10872 12414 12684 14483 14798 16552 18621 19026 22197 24828 25368 28966 29596 37242 38052 43449 44394 49656 57932 59192 66591 74484 76104 86898 88788 101381 115864 130347 133182 148968 173796 177576 202762 260694 266364 304143 312419 347592 405524 521388 532728 608286 624838 811048 912429 937257 1042776 1216572 1249676 1824858 1874514 2186933 2433144 2499352 2811771 3649716 3749028 4373866 5623542 6560799 7299432 7498056 8747732 11247084 13121598 15308531 17495464 19682397 22494168 26243196 30617062 39364794 45925593 52486392 61234124 78729588 91851186 122468248 137776779 157459176 183702372 275553558 367404744 551107116 1102214232