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22232000100 = 22352235360793
BaseRepresentation
bin10100101101001000…
…010110011001100100
32010101101102121210010
4110231020112121210
5331012343000400
614114020530220
71414633611552
oct245510263144
963341377703
1022232000100
119479425802
124385550970
132133c3175b
14110c8d2bd2
158a1ba9450
hex52d216664

22232000100 has 144 divisors (see below), whose sum is σ = 68388872832. Its totient is φ = 5563683840.

The previous prime is 22232000071. The next prime is 22232000129. The reversal of 22232000100 is 100023222.

It is an interprime number because it is at equal distance from previous prime (22232000071) and next prime (22232000129).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335304 + ... + 396096.

It is an arithmetic number, because the mean of its divisors is an integer number (474922728).

Almost surely, 222232000100 is an apocalyptic number.

22232000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22232000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34194436416).

22232000100 is an abundant number, since it is smaller than the sum of its proper divisors (46156872732).

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

22232000100 is a wasteful number, since it uses less digits than its factorization.

22232000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60886 (or 60879 counting only the distinct ones).

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

Adding to 22232000100 its reverse (100023222), we get a palindrome (22332023322).

The spelling of 22232000100 in words is "twenty-two billion, two hundred thirty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 53 60 69 75 92 100 106 115 138 150 159 212 230 265 276 300 318 345 460 530 575 636 690 795 1060 1150 1219 1325 1380 1590 1725 2300 2438 2650 3180 3450 3657 3975 4876 5300 6095 6900 7314 7950 12190 14628 15900 18285 24380 30475 36570 60793 60950 73140 91425 121586 121900 182379 182850 243172 303965 364758 365700 607930 729516 911895 1215860 1398239 1519825 1823790 2796478 3039650 3222029 3647580 4194717 4559475 5592956 6079300 6444058 6991195 8389434 9118950 9666087 12888116 13982390 16110145 16778868 18237900 19332174 20973585 27964780 32220290 34955975 38664348 41947170 48330435 64440580 69911950 74106667 80550725 83894340 96660870 104867925 139823900 148213334 161101450 193321740 209735850 222320001 241652175 296426668 322202900 370533335 419471700 444640002 483304350 741066670 889280004 966608700 1111600005 1482133340 1852666675 2223200010 3705333350 4446400020 5558000025 7410666700 11116000050 22232000100