Search a number
-
+
22223420520 = 23357199132947
BaseRepresentation
bin10100101100100111…
…100111110001101000
32010100210021201210220
4110230213213301220
5331003143424040
614113113010040
71414500646320
oct245447476150
963323251726
1022223420520
1194745a5844
1243826b3920
132132219592
14110b6dc280
158a10622d0
hex52c9e7c68

22223420520 has 128 divisors (see below), whose sum is σ = 76578048000. Its totient is φ = 5054075136.

The previous prime is 22223420507. The next prime is 22223420539. The reversal of 22223420520 is 2502432222.

It is a super-3 number, since 3×222234205203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100687 + ... + 233633.

It is an arithmetic number, because the mean of its divisors is an integer number (598266000).

Almost surely, 222223420520 is an apocalyptic number.

22223420520 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 22223420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38289024000).

22223420520 is an abundant number, since it is smaller than the sum of its proper divisors (54354627480).

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

22223420520 is a wasteful number, since it uses less digits than its factorization.

22223420520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133167 (or 133163 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 22223420520 its reverse (2502432222), we get a palindrome (24725852742).

The spelling of 22223420520 in words is "twenty-two billion, two hundred twenty-three million, four hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 199 210 280 398 420 597 796 840 995 1194 1393 1592 1990 2388 2786 2985 3980 4179 4776 5572 5970 6965 7960 8358 11144 11940 13930 16716 20895 23880 27860 33432 41790 55720 83580 132947 167160 265894 398841 531788 664735 797682 930629 1063576 1329470 1595364 1861258 1994205 2658940 2791887 3190728 3722516 3988410 4653145 5317880 5583774 7445032 7976820 9306290 11167548 13959435 15953640 18612580 22335096 26456453 27918870 37225160 52912906 55837740 79369359 105825812 111675480 132282265 158738718 185195171 211651624 264564530 317477436 370390342 396846795 529129060 555585513 634954872 740780684 793693590 925975855 1058258120 1111171026 1481561368 1587387180 1851951710 2222342052 2777927565 3174774360 3703903420 4444684104 5555855130 7407806840 11111710260 22223420520