Search a number
-
+
200221230048 = 2537273583069
BaseRepresentation
bin1011101001111000011…
…1011000001111100000
3201010210202120100001220
42322132013120033200
511240023113330143
6231551431455040
720315445242400
oct2723607301740
9633722510056
10200221230048
1177a05734654
1232979827480
1315b5b0ca728
14999562c800
15531cac3d83
hex2e9e1d83e0

200221230048 has 144 divisors (see below), whose sum is σ = 619766093520. Its totient is φ = 56422324224.

The previous prime is 200221230047. The next prime is 200221230073. The reversal of 200221230048 is 840032122002.

200221230048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200221230047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51858 + ... + 634926.

It is an arithmetic number, because the mean of its divisors is an integer number (4303931205).

Almost surely, 2200221230048 is an apocalyptic number.

200221230048 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 200221230048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309883046760).

200221230048 is an abundant number, since it is smaller than the sum of its proper divisors (419544863472).

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

200221230048 is a wasteful number, since it uses less digits than its factorization.

200221230048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583169 (or 583154 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 200221230048 in words is "two hundred billion, two hundred twenty-one million, two hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 73 84 96 98 112 146 147 168 196 219 224 292 294 336 392 438 511 584 588 672 784 876 1022 1168 1176 1533 1568 1752 2044 2336 2352 3066 3504 3577 4088 4704 6132 7008 7154 8176 10731 12264 14308 16352 21462 24528 28616 42924 49056 57232 85848 114464 171696 343392 583069 1166138 1749207 2332276 3498414 4081483 4664552 6996828 8162966 9329104 12244449 13993656 16325932 18658208 24488898 27987312 28570381 32651864 42564037 48977796 55974624 57140762 65303728 85128074 85711143 97955592 114281524 127692111 130607456 170256148 171422286 195911184 228563048 255384222 297948259 340512296 342844572 391822368 457126096 510768444 595896518 681024592 685689144 893844777 914252192 1021536888 1191793036 1362049184 1371378288 1787689554 2043073776 2085637813 2383586072 2742756576 3575379108 4086147552 4171275626 4767172144 6256913439 7150758216 8342551252 9534344288 12513826878 14301516432 16685102504 25027653756 28603032864 33370205008 50055307512 66740410016 100110615024 200221230048