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2301212223220 = 2251136337160681
BaseRepresentation
bin100001011111001010111…
…011111110011011110100
322010222211102210012100111
4201133022323332123310
5300200340312120340
64521055020152404
7325154120105041
oct41371273763364
98128742705314
102301212223220
11807a36342359
12311ba7398704
13139007576c11
147d5449c41c8
153ecd6cddaea
hex217caefe6f4

2301212223220 has 48 divisors (see below), whose sum is σ = 4876111246608. Its totient is φ = 912189358080.

The previous prime is 2301212223217. The next prime is 2301212223239. The reversal of 2301212223220 is 223222121032.

It can be written as a sum of positive squares in 8 ways, for example, as 303914048656 + 1997298174564 = 551284^2 + 1413258^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2301212223191 and 2301212223200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14241280 + ... + 14401960.

It is an arithmetic number, because the mean of its divisors is an integer number (101585650971).

Almost surely, 22301212223220 is an apocalyptic number.

2301212223220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301212223220 is an abundant number, since it is smaller than the sum of its proper divisors (2574899023388).

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

2301212223220 is a wasteful number, since it uses less digits than its factorization.

2301212223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167140 (or 167138 counting only the distinct ones).

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

Adding to 2301212223220 its reverse (223222121032), we get a palindrome (2524434344252).

The spelling of 2301212223220 in words is "two trillion, three hundred one billion, two hundred twelve million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 6337 12674 25348 31685 63370 126740 160681 321362 642724 716081 803405 1432162 1606810 2864324 3213620 3580405 7160810 14321620 18156953 36313906 72627812 90784765 181569530 363139060 1018235497 2036470994 4072941988 5091177485 10182354970 20364709940 115060611161 230121222322 460242444644 575303055805 1150606111610 2301212223220