Search a number
-
+
22420222000 = 2453114721683
BaseRepresentation
bin10100111000010110…
…010111000000110000
32010212111121021200121
4110320112113000300
5331404034101000
614144423100024
71422410512501
oct247026270060
963774537617
1022420222000
1195656a36a0
1244185a1614
132163c23a67
1411298caba8
158b3488b1a
hex538597030

22420222000 has 160 divisors (see below), whose sum is σ = 60401562624. Its totient is φ = 7978976000.

The previous prime is 22420221991. The next prime is 22420222001. The reversal of 22420222000 is 22202422.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22420222001) 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, 1023159 + ... + 1044841.

Almost surely, 222420222000 is an apocalyptic number.

22420222000 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 22420222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30200781312).

22420222000 is an abundant number, since it is smaller than the sum of its proper divisors (37981340624).

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

22420222000 is a wasteful number, since it uses less digits than its factorization.

22420222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21764 (or 21748 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 22420222000 its reverse (22202422), we get a palindrome (22442424422).

The spelling of 22420222000 in words is "twenty-two billion, four hundred twenty million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 47 50 55 80 88 94 100 110 125 176 188 200 220 235 250 275 376 400 440 470 500 517 550 752 880 940 1000 1034 1100 1175 1375 1880 2000 2068 2200 2350 2585 2750 3760 4136 4400 4700 5170 5500 5875 8272 9400 10340 11000 11750 12925 18800 20680 21683 22000 23500 25850 41360 43366 47000 51700 64625 86732 94000 103400 108415 129250 173464 206800 216830 238513 258500 346928 433660 477026 517000 542075 867320 954052 1019101 1034000 1084150 1192565 1734640 1908104 2038202 2168300 2385130 2710375 3816208 4076404 4336600 4770260 5095505 5420750 5962825 8152808 8673200 9540520 10191010 10841500 11210111 11925650 16305616 19081040 20382020 21683000 22420222 23851300 25477525 29814125 40764040 43366000 44840444 47702600 50955050 56050555 59628250 81528080 89680888 95405200 101910100 112101110 119256500 127387625 179361776 203820200 224202220 238513000 254775250 280252775 407640400 448404440 477026000 509550500 560505550 896808880 1019101000 1121011100 1401263875 2038202000 2242022200 2802527750 4484044400 5605055500 11210111000 22420222000