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2220033013120 = 27513475677253
BaseRepresentation
bin100000010011100100010…
…001110111010110000000
321212020021220210001012101
4200103210101313112000
5242333111422404440
64415511420040144
7316251326154106
oct40234421672600
97766256701171
102220033013120
1178656883a27a
122ba310693054
1313146b049760
14796433abc76
153cb3503e69a
hex204e4477580

2220033013120 has 128 divisors (see below), whose sum is σ = 5837125472640. Its totient is φ = 802263834624.

The previous prime is 2220033013043. The next prime is 2220033013123. The reversal of 2220033013120 is 213103300222.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×22200330131204 (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220033013123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2447587 + ... + 3229666.

It is an arithmetic number, because the mean of its divisors is an integer number (45602542755).

Almost surely, 22220033013120 is an apocalyptic number.

2220033013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220033013120 is an abundant number, since it is smaller than the sum of its proper divisors (3617092459520).

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

2220033013120 is a wasteful number, since it uses less digits than its factorization.

2220033013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5677332 (or 5677320 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2220033013120 its reverse (213103300222), we get a palindrome (2433136313342).

The spelling of 2220033013120 in words is "two trillion, two hundred twenty billion, thirty-three million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 47 52 64 65 80 94 104 128 130 160 188 208 235 260 320 376 416 470 520 611 640 752 832 940 1040 1222 1504 1664 1880 2080 2444 3008 3055 3760 4160 4888 6016 6110 7520 8320 9776 12220 15040 19552 24440 30080 39104 48880 78208 97760 195520 391040 5677253 11354506 22709012 28386265 45418024 56772530 73804289 90836048 113545060 147608578 181672096 227090120 266830891 295217156 363344192 369021445 454180240 533661782 590434312 726688384 738042890 908360480 1067323564 1180868624 1334154455 1476085780 1816720960 2134647128 2361737248 2668308910 2952171560 3468801583 3633441920 4269294256 4723474496 5336617820 5904343120 6937603166 8538588512 9446948992 10673235640 11808686240 13875206332 17077177024 17344007915 21346471280 23617372480 27750412664 34154354048 34688015830 42692942560 47234744960 55500825328 69376031660 85385885120 111001650656 138752063320 170771770240 222003301312 277504126640 444006602624 555008253280 1110016506560 2220033013120