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200240400 = 24352166867
BaseRepresentation
bin10111110111101…
…10110100010000
3111221210021012010
423323312310100
5402230143100
631511502520
74651005153
oct1373666420
9457707163
10200240400
11a3037638
1257087a40
133263c859
141c845c9a
15128a5750
hexbef6d10

200240400 has 60 divisors (see below), whose sum is σ = 641440592. Its totient is φ = 53397120.

The previous prime is 200240371. The next prime is 200240401. The reversal of 200240400 is 4042002.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (200240401) 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, 82234 + ... + 84633.

Almost surely, 2200240400 is an apocalyptic number.

200240400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200240400 is an abundant number, since it is smaller than the sum of its proper divisors (441200192).

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

200240400 is a wasteful number, since it uses less digits than its factorization.

200240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166888 (or 166877 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 200240400 is about 14150.6324946979. The cubic root of 200240400 is about 585.0377651126.

Adding to 200240400 its reverse (4042002), we get a palindrome (204282402).

The spelling of 200240400 in words is "two hundred million, two hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 166867 333734 500601 667468 834335 1001202 1334936 1668670 2002404 2503005 2669872 3337340 4004808 4171675 5006010 6674680 8009616 8343350 10012020 12515025 13349360 16686700 20024040 25030050 33373400 40048080 50060100 66746800 100120200 200240400