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22001012022 = 23118314392791
BaseRepresentation
bin10100011111010111…
…001100110100110110
32002210021210012201010
4110133113030310312
5330024224341042
614035050013050
71406130342123
oct243727146466
962707705633
1022001012022
11936aaa7a70
124320117186
1320c8117812
1410c9d6574a
1588b77d59c
hex51f5ccd36

22001012022 has 64 divisors (see below), whose sum is σ = 48631726080. Its totient is φ = 6579712800.

The previous prime is 22001011993. The next prime is 22001012027. The reversal of 22001012022 is 22021010022.

It is a junction number, because it is equal to n+sod(n) for n = 22001011989 and 22001012007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001012027) 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, 7881447 + ... + 7884237.

It is an arithmetic number, because the mean of its divisors is an integer number (759870720).

Almost surely, 222001012022 is an apocalyptic number.

22001012022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22001012022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24315863040).

22001012022 is an abundant number, since it is smaller than the sum of its proper divisors (26630714058).

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

22001012022 is a wasteful number, since it uses less digits than its factorization.

22001012022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4329.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22001012022 its reverse (22021010022), we get a palindrome (44022022044).

The spelling of 22001012022 in words is "twenty-two billion, one million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 498 913 1439 1826 2739 2791 2878 4317 5478 5582 8373 8634 15829 16746 30701 31658 47487 61402 92103 94974 119437 184206 231653 238874 358311 463306 694959 716622 1313807 1389918 2548183 2627614 3941421 4016249 5096366 7644549 7882842 8032498 12048747 15289098 24097494 44178739 88357478 132536217 265072434 333348667 666697334 1000046001 2000092002 3666835337 7333670674 11000506011 22001012022