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2220000131232 = 253213709836317
BaseRepresentation
bin100000010011100010010…
…100011011100010100000
321212020012121220110201200
4200103202110123202200
5242333030013144412
64415504243201200
7316250446523412
oct40234224334240
97766177813650
102220000131232
11786551220664
122ba301676200
131314642a5b10
147963cc8c9b2
153cb321e69dc
hex204e251b8a0

2220000131232 has 144 divisors (see below), whose sum is σ = 6808347753480. Its totient is φ = 682112710656.

The previous prime is 2220000131231. The next prime is 2220000131233. The reversal of 2220000131232 is 2321310000222.

It is an interprime number because it is at equal distance from previous prime (2220000131231) and next prime (2220000131233).

It can be written as a sum of positive squares in 4 ways, for example, as 1453191674256 + 766808456976 = 1205484^2 + 875676^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2220000131231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2236338 + ... + 3072654.

Almost surely, 22220000131232 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 2220000131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404173876740).

2220000131232 is an abundant number, since it is smaller than the sum of its proper divisors (4588347622248).

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

2220000131232 is a wasteful number, since it uses less digits than its factorization.

2220000131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837055 (or 837044 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2220000131232 its reverse (2321310000222), we get a palindrome (4541310131454).

The spelling of 2220000131232 in words is "two trillion, two hundred twenty billion, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 709 936 1248 1418 1872 2127 2836 3744 4254 5672 6381 8508 9217 11344 12762 17016 18434 22688 25524 27651 34032 36868 51048 55302 68064 73736 82953 102096 110604 147472 165906 204192 221208 294944 331812 442416 663624 836317 884832 1327248 1672634 2508951 2654496 3345268 5017902 6690536 7526853 10035804 10872121 13381072 15053706 20071608 21744242 26762144 30107412 32616363 40143216 43488484 60214824 65232726 80286432 86976968 97849089 120429648 130465452 173953936 195698178 240859296 260930904 347907872 391396356 521861808 592948753 782792712 1043723616 1185897506 1565585424 1778846259 2371795012 3131170848 3557692518 4743590024 5336538777 7115385036 7708333789 9487180048 10673077554 14230770072 15416667578 18974360096 21346155108 23125001367 28461540144 30833335156 42692310216 46250002734 56923080288 61666670312 69375004101 85384620432 92500005468 123333340624 138750008202 170769240864 185000010936 246666681248 277500016404 370000021872 555000032808 740000043744 1110000065616 2220000131232