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2053571200 = 27522922129
BaseRepresentation
bin111101001100111…
…0000001010000000
312022010011020002121
41322121300022000
513201203234300
6535435054024
7101614032022
oct17231601200
95263136077
102053571200
1196420748a
124938a1314
132695b30b5
14156a42012
15c044581a
hex7a670280

2053571200 has 96 divisors (see below), whose sum is σ = 5248129500. Its totient is φ = 793067520.

The previous prime is 2053571197. The next prime is 2053571207. The reversal of 2053571200 is 21753502.

It can be written as a sum of positive squares in 6 ways, for example, as 1353651264 + 699919936 = 36792^2 + 26456^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2053571207) 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, 81736 + ... + 103864.

Almost surely, 22053571200 is an apocalyptic number.

2053571200 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 2053571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624064750).

2053571200 is an abundant number, since it is smaller than the sum of its proper divisors (3194558300).

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

2053571200 is a wasteful number, since it uses less digits than its factorization.

2053571200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22182 (or 22165 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 2053571200 is about 45316.3458367949. The cubic root of 2053571200 is about 1271.0713261583.

The spelling of 2053571200 in words is "two billion, fifty-three million, five hundred seventy-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 128 145 160 200 232 290 320 400 464 580 640 725 800 928 1160 1450 1600 1856 2320 2900 3200 3712 4640 5800 9280 11600 18560 22129 23200 44258 46400 88516 92800 110645 177032 221290 354064 442580 553225 641741 708128 885160 1106450 1283482 1416256 1770320 2212900 2566964 2832512 3208705 3540640 4425800 5133928 6417410 7081280 8851600 10267856 12834820 14162560 16043525 17703200 20535712 25669640 32087050 35406400 41071424 51339280 64174100 70812800 82142848 102678560 128348200 205357120 256696400 410714240 513392800 1026785600 2053571200