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20222001030 = 23571127132303
BaseRepresentation
bin10010110101010100…
…110011111110000110
31221012022021002102010
4102311110303332012
5312403313013110
613142335355050
71314056113140
oct226524637606
957168232363
1020222001030
118637879750
123b04382a86
131ba36960aa
14d9b993c90
157d54be020
hex4b5533f86

20222001030 has 128 divisors (see below), whose sum is σ = 60733587456. Its totient is φ = 4186339200.

The previous prime is 20222001029. The next prime is 20222001031. The reversal of 20222001030 is 3010022202.

It is an interprime number because it is at equal distance from previous prime (20222001029) and next prime (20222001031).

It is a junction number, because it is equal to n+sod(n) for n = 20222000997 and 20222001015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20222001031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 609859 + ... + 642161.

It is an arithmetic number, because the mean of its divisors is an integer number (474481152).

Almost surely, 220222001030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20222001030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30366793728).

20222001030 is an abundant number, since it is smaller than the sum of its proper divisors (40511586426).

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

20222001030 is a wasteful number, since it uses less digits than its factorization.

20222001030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32602.

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20222001030 its reverse (3010022202), we get a palindrome (23232023232).

The spelling of 20222001030 in words is "twenty billion, two hundred twenty-two million, one thousand, thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 271 330 385 462 542 770 813 1155 1355 1626 1897 2310 2710 2981 3794 4065 5691 5962 8130 8943 9485 11382 14905 17886 18970 20867 28455 29810 32303 41734 44715 56910 62601 64606 89430 96909 104335 125202 161515 193818 208670 226121 313005 323030 355333 452242 484545 626010 678363 710666 969090 1065999 1130605 1356726 1776665 2131998 2261210 2487331 3391815 3553330 4974662 5329995 6783630 7461993 8754113 10659990 12436655 14923986 17508226 24873310 26262339 37309965 43770565 52524678 61278791 74619930 87541130 96295243 122557582 131311695 183836373 192590486 262623390 288885729 306393955 367672746 481476215 577771458 612787910 674066701 919181865 962952430 1348133402 1444428645 1838363730 2022200103 2888857290 3370333505 4044400206 6740667010 10111000515 20222001030