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2022262164 = 22321335312241
BaseRepresentation
bin111100010001001…
…0100010110010100
312012221020120011200
41320202110112110
513120144342124
6532400032500
7101053642026
oct17042242624
95187216150
102022262164
1194857254a
12485302730
13262c70340
14152812016
15bc80dbc9
hex78894594

2022262164 has 72 divisors (see below), whose sum is σ = 5521093032. Its totient is φ = 620421120.

The previous prime is 2022262163. The next prime is 2022262171. The reversal of 2022262164 is 4612622202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1040400 + 2021221764 = 1020^2 + 44958^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022262163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159084 + ... + 171324.

Almost surely, 22022262164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022262164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760546516).

2022262164 is an abundant number, since it is smaller than the sum of its proper divisors (3498830868).

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

2022262164 is a wasteful number, since it uses less digits than its factorization.

2022262164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12617 (or 12612 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2022262164 is about 44969.5693108128. The cubic root of 2022262164 is about 1264.5785728214.

Adding to 2022262164 its reverse (4612622202), we get a palindrome (6634884366).

The spelling of 2022262164 in words is "two billion, twenty-two million, two hundred sixty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 353 468 706 1059 1412 2118 3177 4236 4589 6354 9178 12241 12708 13767 18356 24482 27534 36723 41301 48964 55068 73446 82602 110169 146892 159133 165204 220338 318266 440676 477399 636532 954798 1432197 1909596 2864394 4321073 5728788 8642146 12963219 17284292 25926438 38889657 51852876 56173949 77779314 112347898 155558628 168521847 224695796 337043694 505565541 674087388 1011131082 2022262164