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200220048 = 243271391429
BaseRepresentation
bin10111110111100…
…01110110010000
3111221202020021100
423323301312100
5402224020143
631511224400
74650561630
oct1373616620
9457666240
10200220048
11a3023316
1257078100
1332633502
141c83c6c0
151289e6d3
hexbef1d90

200220048 has 120 divisors (see below), whose sum is σ = 645444800. Its totient is φ = 56754432.

The previous prime is 200220023. The next prime is 200220073. The reversal of 200220048 is 840022002.

200220048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200220023) and next prime (200220073).

It is a super-2 number, since 2×2002200482 = 80176135242244608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 200220048.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139398 + ... + 140826.

Almost surely, 2200220048 is an apocalyptic number.

200220048 is a gapful number since it is divisible by the number (28) 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 200220048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322722400).

200220048 is an abundant number, since it is smaller than the sum of its proper divisors (445224752).

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

200220048 is a wasteful number, since it uses less digits than its factorization.

200220048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 200220048 is about 14149.9133566252. The cubic root of 200220048 is about 585.0179437845.

The spelling of 200220048 in words is "two hundred million, two hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 139 144 168 252 278 336 417 504 556 834 973 1008 1112 1251 1429 1668 1946 2224 2502 2858 2919 3336 3892 4287 5004 5716 5838 6672 7784 8574 8757 10003 10008 11432 11676 12861 15568 17148 17514 20006 20016 22864 23352 25722 30009 34296 35028 40012 46704 51444 60018 68592 70056 80024 90027 102888 120036 140112 160048 180054 198631 205776 240072 360108 397262 480144 595893 720216 794524 1191786 1390417 1440432 1589048 1787679 2383572 2780834 3178096 3575358 4171251 4767144 5561668 7150716 8342502 9534288 11123336 12513753 14301432 16685004 22246672 25027506 28602864 33370008 50055012 66740016 100110024 200220048