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2123200000 = 29551327
BaseRepresentation
bin111111010001101…
…0111011000000000
312110222011201212001
41332203113120000
513322014400000
6550403313344
7103420621315
oct17643273000
95428151761
102123200000
1199a544649
124b307b854
1327ab5197c
14161da8d0c
15c65eb46a
hex7e8d7600

2123200000 has 120 divisors (see below), whose sum is σ = 5306472864. Its totient is φ = 848640000.

The previous prime is 2123199983. The next prime is 2123200007. The reversal of 2123200000 is 23212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2123200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123200007) 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, 1599337 + ... + 1600663.

Almost surely, 22123200000 is an apocalyptic number.

2123200000 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 2123200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653236432).

2123200000 is an abundant number, since it is smaller than the sum of its proper divisors (3183272864).

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

2123200000 is an frugal number, since it uses more digits than its factorization.

2123200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2123200000 is about 46078.1944090695. The cubic root of 2123200000 is about 1285.2776883256.

Adding to 2123200000 its reverse (23212), we get a palindrome (2123223212).

The spelling of 2123200000 in words is "two billion, one hundred twenty-three million, two hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1327 1600 2000 2500 2560 2654 3125 3200 4000 5000 5308 6250 6400 6635 8000 10000 10616 12500 12800 13270 16000 20000 21232 25000 26540 32000 33175 40000 42464 50000 53080 64000 66350 80000 84928 100000 106160 132700 160000 165875 169856 200000 212320 265400 320000 331750 339712 400000 424640 530800 663500 679424 800000 829375 849280 1061600 1327000 1600000 1658750 1698560 2123200 2654000 3317500 3397120 4146875 4246400 5308000 6635000 8293750 8492800 10616000 13270000 16587500 16985600 21232000 26540000 33175000 42464000 53080000 66350000 84928000 106160000 132700000 212320000 265400000 424640000 530800000 1061600000 2123200000