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11222022048 = 253177987041
BaseRepresentation
bin10100111001110001…
…00111011110100000
31001222002012210020020
422130320213132200
5140440314201143
65053314513440
7545043420306
oct123470473640
931862183206
1011222022048
1148395a2296
122212295880
13109ac22543
14786586276
1545a2e8883
hex29ce277a0

11222022048 has 96 divisors (see below), whose sum is σ = 31585800960. Its totient is φ = 3476029440.

The previous prime is 11222022047. The next prime is 11222022061. The reversal of 11222022048 is 84022022211.

11222022048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×112220220482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11222022047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85408 + ... + 172448.

It is an arithmetic number, because the mean of its divisors is an integer number (329018760).

Almost surely, 211222022048 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 11222022048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15792900480).

11222022048 is an abundant number, since it is smaller than the sum of its proper divisors (20363778912).

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

11222022048 is a wasteful number, since it uses less digits than its factorization.

11222022048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87150 (or 87142 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 11222022048 its reverse (84022022211), we get a palindrome (95244044259).

It can be divided in two parts, 1122202 and 2048, that added together give a triangular number (1124250 = T1499).

The spelling of 11222022048 in words is "eleven billion, two hundred twenty-two million, twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 79 96 102 136 158 204 237 272 316 408 474 544 632 816 948 1264 1343 1632 1896 2528 2686 3792 4029 5372 7584 8058 10744 16116 21488 32232 42976 64464 87041 128928 174082 261123 348164 522246 696328 1044492 1392656 1479697 2088984 2785312 2959394 4177968 4439091 5918788 6876239 8355936 8878182 11837576 13752478 17756364 20628717 23675152 27504956 35512728 41257434 47350304 55009912 71025456 82514868 110019824 116896063 142050912 165029736 220039648 233792126 330059472 350688189 467584252 660118944 701376378 935168504 1402752756 1870337008 2805505512 3740674016 5611011024 11222022048