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3222122982 = 23131723310429
BaseRepresentation
bin1100000000001101…
…1011000111100110
322022112222210210020
43000003123013212
523044330413412
61251421140010
7142563410361
oct30003330746
98275883706
103222122982
111403893761
1275b0ba606
133c4716360
14227d070d8
1513cd1d18c
hexc00db1e6

3222122982 has 64 divisors (see below), whose sum is σ = 7380434880. Its totient is φ = 929009664.

The previous prime is 3222122977. The next prime is 3222122987. The reversal of 3222122982 is 2892212223.

It is an interprime number because it is at equal distance from previous prime (3222122977) and next prime (3222122987).

It is a super-2 number, since 2×32221229822 = 20764153022265144648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222122987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303744 + ... + 314172.

It is an arithmetic number, because the mean of its divisors is an integer number (115319295).

Almost surely, 23222122982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222122982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690217440).

3222122982 is an abundant number, since it is smaller than the sum of its proper divisors (4158311898).

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

3222122982 is a wasteful number, since it uses less digits than its factorization.

3222122982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10697.

The product of its digits is 13824, while the sum is 33.

The square root of 3222122982 is about 56763.7470750478. The cubic root of 3222122982 is about 1477.0007103577. Note that the first 3 decimals are identical.

The spelling of 3222122982 in words is "three billion, two hundred twenty-two million, one hundred twenty-two thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 233 442 466 663 699 1326 1398 3029 3961 6058 7922 9087 10429 11883 18174 20858 23766 31287 51493 62574 102986 135577 154479 177293 271154 308958 354586 406731 531879 813462 1063758 2304809 2429957 4609618 4859914 6914427 7289871 13828854 14579742 31589441 41309269 63178882 82618538 94768323 123927807 189536646 247855614 537020497 1074040994 1611061491 3222122982