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220425400 = 235213174987
BaseRepresentation
bin11010010001101…
…10110010111000
3120100202202210201
431020312302320
5422412103100
633512251544
75314404436
oct1510666270
9510682721
10220425400
11103473958
12619a0bb4
1336889240
14213bbd56
151454136a
hexd236cb8

220425400 has 96 divisors (see below), whose sum is σ = 584493840. Its totient is φ = 76584960.

The previous prime is 220425379. The next prime is 220425409. The reversal of 220425400 is 4524022.

220425400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220425409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41707 + ... + 46693.

Almost surely, 2220425400 is an apocalyptic number.

220425400 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 220425400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292246920).

220425400 is an abundant number, since it is smaller than the sum of its proper divisors (364068440).

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

220425400 is a wasteful number, since it uses less digits than its factorization.

220425400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 220425400 is about 14846.7302797619. The cubic root of 220425400 is about 604.0699230483.

Adding to 220425400 its reverse (4524022), we get a palindrome (224949422).

The spelling of 220425400 in words is "two hundred twenty million, four hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 130 136 170 200 221 260 325 340 425 442 520 650 680 850 884 1105 1300 1700 1768 2210 2600 3400 4420 4987 5525 8840 9974 11050 19948 22100 24935 39896 44200 49870 64831 84779 99740 124675 129662 169558 199480 249350 259324 324155 339116 423895 498700 518648 648310 678232 847790 997400 1102127 1296620 1620775 1695580 2119475 2204254 2593240 3241550 3391160 4238950 4408508 5510635 6483100 8477900 8817016 11021270 12966200 16955800 22042540 27553175 44085080 55106350 110212700 220425400