Search a number
-
+
2023213400 = 2352132321471
BaseRepresentation
bin111100010010111…
…1100100101011000
312020000000220000122
41320211330211120
513120420312100
6532432252412
7101065013225
oct17045744530
95200026018
102023213400
1194906219a
124856a1108
132632142c0
141529bc94c
15bc94a985
hex7897c958

2023213400 has 144 divisors (see below), whose sum is σ = 5299244160. Its totient is φ = 714067200.

The previous prime is 2023213399. The next prime is 2023213417. The reversal of 2023213400 is 43123202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1374665 + ... + 1376135.

Almost surely, 22023213400 is an apocalyptic number.

2023213400 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 2023213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649622080).

2023213400 is an abundant number, since it is smaller than the sum of its proper divisors (3276030760).

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

2023213400 is a wasteful number, since it uses less digits than its factorization.

2023213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2023213400 is about 44980.1445084384. The cubic root of 2023213400 is about 1264.7768201315.

Adding to 2023213400 its reverse (43123202), we get a palindrome (2066336602).

The spelling of 2023213400 in words is "two billion, twenty-three million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 23 25 26 40 46 50 52 65 92 100 104 115 130 184 200 230 260 299 325 460 520 529 575 598 650 920 1058 1150 1196 1300 1471 1495 2116 2300 2392 2600 2645 2942 2990 4232 4600 5290 5884 5980 6877 7355 7475 10580 11768 11960 13225 13754 14710 14950 19123 21160 26450 27508 29420 29900 33833 34385 36775 38246 52900 55016 58840 59800 67666 68770 73550 76492 95615 105800 135332 137540 147100 152984 169165 171925 191230 270664 275080 294200 338330 343850 382460 439829 478075 676660 687700 764920 778159 845825 879658 956150 1353320 1375400 1556318 1691650 1759316 1912300 2199145 3112636 3383300 3518632 3824600 3890795 4398290 6225272 6766600 7781590 8796580 10116067 10995725 15563180 17593160 19453975 20232134 21991450 31126360 38907950 40464268 43982900 50580335 77815900 80928536 87965800 101160670 155631800 202321340 252901675 404642680 505803350 1011606700 2023213400