Search a number
-
+
2173900800 = 21135214153
BaseRepresentation
bin1000000110010011…
…0001100000000000
312121111120121021110
42001210301200000
513423004311200
6555414123320
7104604565131
oct20144614000
95544517243
102173900800
11a16123935
12508050540
132884c4046
14168a05c88
15cacb3b50
hex81931800

2173900800 has 144 divisors (see below), whose sum is σ = 7187118120. Its totient is φ = 579665920.

The previous prime is 2173900759. The next prime is 2173900801. The reversal of 2173900800 is 80093712.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2173900801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146524 + ... + 160676.

Almost surely, 22173900800 is an apocalyptic number.

2173900800 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 2173900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593559060).

2173900800 is an abundant number, since it is smaller than the sum of its proper divisors (5013217320).

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

2173900800 is a wasteful number, since it uses less digits than its factorization.

2173900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14188 (or 14163 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 2173900800 is about 46625.1091151538. The cubic root of 2173900800 is about 1295.4278834324.

The spelling of 2173900800 in words is "two billion, one hundred seventy-three million, nine hundred thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1200 1280 1536 1600 1920 2048 2400 2560 3072 3200 3840 4800 5120 6144 6400 7680 9600 10240 12800 14153 15360 19200 25600 28306 30720 38400 42459 51200 56612 70765 76800 84918 113224 141530 153600 169836 212295 226448 283060 339672 353825 424590 452896 566120 679344 707650 849180 905792 1061475 1132240 1358688 1415300 1698360 1811584 2122950 2264480 2717376 2830600 3396720 3623168 4245900 4528960 5434752 5661200 6793440 7246336 8491800 9057920 10869504 11322400 13586880 14492672 16983600 18115840 21739008 22644800 27173760 28985344 33967200 36231680 43478016 45289600 54347520 67934400 72463360 86956032 90579200 108695040 135868800 144926720 181158400 217390080 271737600 362316800 434780160 543475200 724633600 1086950400 2173900800