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2134403200 = 2752739137
BaseRepresentation
bin111111100111000…
…0110100010000000
312111202020220202101
41333032012202000
513332401400300
6551443400144
7103615061566
oct17716064200
95452226671
102134403200
119a58a6796
124b6983054
13280275097
14163683a36
15c75b0b6a
hex7f386880

2134403200 has 96 divisors (see below), whose sum is σ = 5345455860. Its totient is φ = 841973760.

The previous prime is 2134403191. The next prime is 2134403233. The reversal of 2134403200 is 23044312.

It can be written as a sum of positive squares in 6 ways, for example, as 232745536 + 1901657664 = 15256^2 + 43608^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229032 + ... + 238168.

Almost surely, 22134403200 is an apocalyptic number.

2134403200 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 2134403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672727930).

2134403200 is an abundant number, since it is smaller than the sum of its proper divisors (3211052660).

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

2134403200 is an equidigital number, since it uses as much as digits as its factorization.

2134403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9234 (or 9217 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2134403200 is about 46199.6017298851. The cubic root of 2134403200 is about 1287.5343403666.

Adding to 2134403200 its reverse (23044312), we get a palindrome (2157447512).

The spelling of 2134403200 in words is "two billion, one hundred thirty-four million, four hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 128 146 160 200 292 320 365 400 584 640 730 800 1168 1460 1600 1825 2336 2920 3200 3650 4672 5840 7300 9137 9344 11680 14600 18274 23360 29200 36548 45685 46720 58400 73096 91370 116800 146192 182740 228425 233600 292384 365480 456850 584768 667001 730960 913700 1169536 1334002 1461920 1827400 2668004 2923840 3335005 3654800 5336008 5847680 6670010 7309600 10672016 13340020 14619200 16675025 21344032 26680040 29238400 33350050 42688064 53360080 66700100 85376128 106720160 133400200 213440320 266800400 426880640 533600800 1067201600 2134403200