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2022220112202 = 23223137174120479
BaseRepresentation
bin11101011011010101101…
…101100010000101001010
321011022200222220111121200
4131123111231202011022
5231113001322042302
64144554535045030
7266046333225213
oct35332555420512
97138628814550
102022220112202
1170a689596a84
12287b05510776
13118904b92b64
146dc3996a40a
1537908ad981c
hex1d6d5b6214a

2022220112202 has 96 divisors (see below), whose sum is σ = 4608218234880. Its totient is φ = 639660637440.

The previous prime is 2022220112197. The next prime is 2022220112207. The reversal of 2022220112202 is 2022110222202.

2022220112202 is a `hidden beast` number, since 20 + 222 + 201 + 1 + 220 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2022220112197) and next prime (2022220112207).

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 (2022220112207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98735799 + ... + 98756277.

It is an arithmetic number, because the mean of its divisors is an integer number (48002273280).

Almost surely, 22022220112202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022220112202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304109117440).

2022220112202 is an abundant number, since it is smaller than the sum of its proper divisors (2585998122678).

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

2022220112202 is a wasteful number, since it uses less digits than its factorization.

2022220112202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22388 (or 22385 counting only the distinct ones).

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

Adding to 2022220112202 its reverse (2022110222202), we get a palindrome (4044330334404).

The spelling of 2022220112202 in words is "two trillion, twenty-two billion, two hundred twenty million, one hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 137 138 207 274 411 414 822 1233 1741 2466 3151 3482 5223 6302 9453 10446 15669 18906 20479 28359 31338 40043 40958 56718 61437 80086 120129 122874 184311 238517 240258 360387 368622 471017 477034 715551 720774 942034 1413051 1431102 2146653 2805623 2826102 4239153 4293306 5485891 5611246 8416869 8478306 10971782 16457673 16833738 25250607 32915346 35653939 49373019 50501214 64529329 71307878 98746038 106961817 129058658 193587987 213923634 320885451 387175974 580763961 641770902 820040597 1161527922 1640081194 2460121791 4884589643 4920243582 7380365373 9769179286 14653768929 14760730746 29307537858 43961306787 87922613574 112345561789 224691123578 337036685367 674073370734 1011110056101 2022220112202