Search a number
-
+
2226500520 = 2335292512549
BaseRepresentation
bin1000010010110101…
…1011001110101000
312202011112221112020
42010231123032220
514024441004040
61004533344440
7106113641106
oct20455331650
95664487466
102226500520
11a4288a882
12521798120
1329637c83a
141719b8c76
15d0703cd0
hex84b5b3a8

2226500520 has 128 divisors (see below), whose sum is σ = 6940080000. Its totient is φ = 570752000.

The previous prime is 2226500513. The next prime is 2226500539. The reversal of 2226500520 is 250056222.

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, 872206 + ... + 874754.

It is an arithmetic number, because the mean of its divisors is an integer number (54219375).

Almost surely, 22226500520 is an apocalyptic number.

2226500520 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 2226500520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3470040000).

2226500520 is an abundant number, since it is smaller than the sum of its proper divisors (4713579480).

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

2226500520 is a wasteful number, since it uses less digits than its factorization.

2226500520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2226500520 is about 47185.8084597477. The cubic root of 2226500520 is about 1305.7927920121.

Adding to 2226500520 its reverse (250056222), we get a palindrome (2476556742).

The spelling of 2226500520 in words is "two billion, two hundred twenty-six million, five hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 251 290 348 435 502 580 696 753 870 1004 1160 1255 1506 1740 2008 2510 2549 3012 3480 3765 5020 5098 6024 7279 7530 7647 10040 10196 12745 14558 15060 15294 20392 21837 25490 29116 30120 30588 36395 38235 43674 50980 58232 61176 72790 73921 76470 87348 101960 109185 145580 147842 152940 174696 218370 221763 291160 295684 305880 369605 436740 443526 591368 639799 739210 873480 887052 1108815 1279598 1478420 1774104 1919397 2217630 2559196 2956840 3198995 3838794 4435260 5118392 6397990 7677588 8870520 9596985 12795980 15355176 18554171 19193970 25591960 37108342 38387940 55662513 74216684 76775880 92770855 111325026 148433368 185541710 222650052 278312565 371083420 445300104 556625130 742166840 1113250260 2226500520