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2220012431032 = 2311196772727259
BaseRepresentation
bin100000010011100011000…
…011010110011010111000
321212020020111001100212211
4200103203003112122320
5242333041140243112
64415505402544504
7316250656212034
oct40234303263270
97766214040784
102220012431032
11786558161690
122ba305808134
131314669c13c6
14796407711c4
153cb333260a7
hex204e30d66b8

2220012431032 has 128 divisors (see below), whose sum is σ = 4858124544000. Its totient is φ = 940387916160.

The previous prime is 2220012430991. The next prime is 2220012431033. The reversal of 2220012431032 is 2301342100222.

It is a super-2 number, since 2×22200124310322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2220012430994 and 2220012431012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220012431033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81427819 + ... + 81455077.

It is an arithmetic number, because the mean of its divisors is an integer number (37954098000).

Almost surely, 22220012431032 is an apocalyptic number.

2220012431032 is a gapful number since it is divisible by the number (22) 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 2220012431032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429062272000).

2220012431032 is an abundant number, since it is smaller than the sum of its proper divisors (2638112112968).

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

2220012431032 is a wasteful number, since it uses less digits than its factorization.

2220012431032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28089 (or 28085 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2220012431032 its reverse (2301342100222), we get a palindrome (4521354531254).

The spelling of 2220012431032 in words is "two trillion, two hundred twenty billion, twelve million, four hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 67 76 88 134 152 209 268 418 536 727 737 836 1273 1454 1474 1672 2546 2908 2948 5092 5816 5896 7997 10184 13813 14003 15994 27259 27626 28006 31988 48709 54518 55252 56012 63976 97418 109036 110504 112024 151943 194836 218072 299849 303886 389672 517921 535799 599698 607772 925471 1035842 1071598 1199396 1215544 1826353 1850942 2071684 2143196 2398792 3652706 3701884 4143368 4286392 5697131 7305412 7403768 10180181 11394262 14610824 19817293 20089883 20360362 22788524 34700707 39634586 40179766 40720724 45577048 69401414 79269172 80359532 81441448 138802828 158538344 160719064 217990223 277605656 376528567 381707777 435980446 753057134 763415554 871960892 1327758631 1506114268 1526831108 1743921784 2655517262 3012228536 3053662216 4141814237 5311034524 8283628474 10622069048 14605344941 16567256948 25227413989 29210689882 33134513896 50454827978 58421379764 100909655956 116842759528 201819311912 277501553879 555003107758 1110006215516 2220012431032