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2220032231032 = 2371171107474391
BaseRepresentation
bin100000010011100100001…
…110111000011001111000
321212020021212022022101011
4200103210032320121320
5242333111222343112
64415511351203304
7316251316416010
oct40234416703170
97766255268334
102220032231032
11786568355720
122ba310376534
1313146ab34795
1479643246c40
153cb34e37aa7
hex204e43b8678

2220032231032 has 128 divisors (see below), whose sum is σ = 5311975956480. Its totient is φ = 844793712000.

The previous prime is 2220032231003. The next prime is 2220032231051. The reversal of 2220032231032 is 2301322300222.

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 = 2220032230994 and 2220032231012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4442557 + ... + 4916947.

It is an arithmetic number, because the mean of its divisors is an integer number (41499812160).

Almost surely, 22220032231032 is an apocalyptic number.

2220032231032 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 2220032231032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655987978240).

2220032231032 is an abundant number, since it is smaller than the sum of its proper divisors (3091943725448).

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

2220032231032 is a wasteful number, since it uses less digits than its factorization.

2220032231032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474593 (or 474589 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2220032231032 its reverse (2301322300222), we get a palindrome (4521354531254).

The spelling of 2220032231032 in words is "two trillion, two hundred twenty billion, thirty-two million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 71 77 88 107 142 154 214 284 308 428 497 568 616 749 781 856 994 1177 1498 1562 1988 2354 2996 3124 3976 4708 5467 5992 6248 7597 8239 9416 10934 15194 16478 21868 30388 32956 43736 53179 60776 65912 83567 106358 167134 212716 334268 425432 474391 584969 668536 948782 1169938 1897564 2339876 3320737 3795128 4679752 5218301 6641474 10436602 13282948 20873204 26565896 33681761 36528107 41746408 50759837 67363522 73056214 101519674 134727044 146112428 203039348 235772327 269454088 292224856 355318859 370499371 406078696 471544654 558358207 710637718 740998742 943089308 1116716414 1421275436 1481997484 1886178616 2233432828 2593495597 2842550872 2963994968 3603948427 3908507449 4466865656 5186991194 7207896854 7817014898 10373982388 14415793708 15634029796 20747964776 25227638989 28831587416 31268059592 39643432697 50455277978 79286865394 100910555956 158573730788 201821111912 277504028879 317147461576 555008057758 1110016115516 2220032231032