Search a number
-
+
2122202021220 = 223356323621541
BaseRepresentation
bin11110111000011101000…
…110001111110101100100
321111212202220111201201000
4132320131012033311210
5234232232204134340
64302532014233300
7306216100355301
oct36703506176544
97455686451630
102122202021220
11749025796056
122a33691b5830
13125179a0a078
1474a0243c0a8
153a30b44dd30
hex1ee1d18fd64

2122202021220 has 96 divisors (see below), whose sum is σ = 6603461101440. Its totient is φ = 565830126720.

The previous prime is 2122202021207. The next prime is 2122202021273. The reversal of 2122202021220 is 221202022212.

2122202021220 is a `hidden beast` number, since 21 + 2 + 220 + 202 + 1 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2122202021193 and 2122202021202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3103650 + ... + 3725190.

It is an arithmetic number, because the mean of its divisors is an integer number (68786053140).

Almost surely, 22122202021220 is an apocalyptic number.

2122202021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122202021220 is an abundant number, since it is smaller than the sum of its proper divisors (4481259080220).

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

2122202021220 is a wasteful number, since it uses less digits than its factorization.

2122202021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627882 (or 627874 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2122202021220 its reverse (221202022212), we get a palindrome (2343404043432).

The spelling of 2122202021220 in words is "two trillion, one hundred twenty-two billion, two hundred two million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 6323 12646 18969 25292 31615 37938 56907 63230 75876 94845 113814 126460 170721 189690 227628 284535 341442 379380 569070 621541 682884 853605 1138140 1243082 1707210 1864623 2486164 3107705 3414420 3729246 5593869 6215410 7458492 9323115 11187738 12430820 16781607 18646230 22375476 27969345 33563214 37292460 55938690 67126428 83908035 111877380 167816070 335632140 3930003743 7860007486 11790011229 15720014972 19650018715 23580022458 35370033687 39300037430 47160044916 58950056145 70740067374 78600074860 106110101061 117900112290 141480134748 176850168435 212220202122 235800224580 353700336870 424440404244 530550505305 707400673740 1061101010610 2122202021220