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2220012044224 = 26132998393601
BaseRepresentation
bin100000010011100011000…
…001110111111111000000
321212020020110022201021121
4200103203001313333000
5242333041040403344
64415505350402024
7316250653011232
oct40234301677700
97766213281247
102220012044224
11786557a18007
122ba305660314
131314668b7320
14796406b0252
153cb3329b684
hex204e3077fc0

2220012044224 has 112 divisors (see below), whose sum is σ = 4912846989120. Its totient is φ = 988272230400.

The previous prime is 2220012044183. The next prime is 2220012044227. The reversal of 2220012044224 is 4224402100222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220012044227) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 23671024 + ... + 23764624.

It is an arithmetic number, because the mean of its divisors is an integer number (43864705260).

Almost surely, 22220012044224 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 2220012044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456423494560).

2220012044224 is an abundant number, since it is smaller than the sum of its proper divisors (2692834944896).

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

2220012044224 is a wasteful number, since it uses less digits than its factorization.

2220012044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94638 (or 94628 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 2220012044224 its reverse (4224402100222), we get a palindrome (6444414144446).

The spelling of 2220012044224 in words is "two trillion, two hundred twenty billion, twelve million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 208 232 377 416 464 754 832 928 983 1508 1856 1966 3016 3932 6032 7864 12064 12779 15728 24128 25558 28507 31456 51116 57014 62912 93601 102232 114028 187202 204464 228056 370591 374404 408928 456112 741182 748808 817856 912224 1216813 1482364 1497616 1824448 2433626 2714429 2964728 2995232 4867252 5428858 5929456 5990464 9734504 10857716 11858912 19469008 21715432 23717824 35287577 38938016 43430864 70575154 77876032 86861728 92009783 141150308 173723456 184019566 282300616 368039132 564601232 736078264 1129202464 1196127179 1472156528 2258404928 2392254358 2668283707 2944313056 4784508716 5336567414 5888626112 9569017432 10673134828 19138034864 21346269656 34687688191 38276069728 42692539312 69375376382 76552139456 85385078624 138750752764 170770157248 277501505528 555003011056 1110006022112 2220012044224