Search a number
-
+
2848220400 = 243524315507
BaseRepresentation
bin1010100111000100…
…0110010011110000
321100111102120212110
42221301012103300
521313121023100
61150343125320
7130403321364
oct25161062360
97314376773
102848220400
111231823163
12675a43840
1336511161c
141d03b72a4
1511a0b2250
hexa9c464f0

2848220400 has 120 divisors (see below), whose sum is σ = 9146628864. Its totient is φ = 757625600.

The previous prime is 2848220399. The next prime is 2848220411. The reversal of 2848220400 is 40228482.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×28482204002 = 16224718893952320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 514447 + ... + 519953.

Almost surely, 22848220400 is an apocalyptic number.

2848220400 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 2848220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4573314432).

2848220400 is an abundant number, since it is smaller than the sum of its proper divisors (6298408464).

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

2848220400 is a wasteful number, since it uses less digits than its factorization.

2848220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5959 (or 5948 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 2848220400 is about 53368.7211763595. The cubic root of 2848220400 is about 1417.5047761971.

Adding to 2848220400 its reverse (40228482), we get a palindrome (2888448882).

The spelling of 2848220400 in words is "two billion, eight hundred forty-eight million, two hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 431 600 862 1200 1293 1724 2155 2586 3448 4310 5172 5507 6465 6896 8620 10344 10775 11014 12930 16521 17240 20688 21550 22028 25860 27535 32325 33042 34480 43100 44056 51720 55070 64650 66084 82605 86200 88112 103440 110140 129300 132168 137675 165210 172400 220280 258600 264336 275350 330420 413025 440560 517200 550700 660840 826050 1101400 1321680 1652100 2202800 2373517 3304200 4747034 6608400 7120551 9494068 11867585 14241102 18988136 23735170 28482204 35602755 37976272 47470340 56964408 59337925 71205510 94940680 113928816 118675850 142411020 178013775 189881360 237351700 284822040 356027550 474703400 569644080 712055100 949406800 1424110200 2848220400