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200402000 = 2453971033
BaseRepresentation
bin10111111000111…
…10010001010000
3111222002110212022
423330132101100
5402300331000
631515151012
74652250251
oct1374362120
9458073768
10200402000
11a3137a97
1257145468
1332698286
141c888b28
15128d8585
hexbf1e450

200402000 has 80 divisors (see below), whose sum is σ = 490041552. Its totient is φ = 79257600.

The previous prime is 200401979. The next prime is 200402017. The reversal of 200402000 is 204002.

200402000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 21270544 + 179131456 = 4612^2 + 13384^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193484 + ... + 194516.

Almost surely, 2200402000 is an apocalyptic number.

200402000 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 200402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245020776).

200402000 is an abundant number, since it is smaller than the sum of its proper divisors (289639552).

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

200402000 is a wasteful number, since it uses less digits than its factorization.

200402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 200402000 is about 14156.3413352462. The cubic root of 200402000 is about 585.1951037939.

Adding to 200402000 its reverse (204002), we get a palindrome (200606002).

The spelling of 200402000 in words is "two hundred million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 250 388 400 485 500 776 970 1000 1033 1552 1940 2000 2066 2425 3880 4132 4850 5165 7760 8264 9700 10330 12125 16528 19400 20660 24250 25825 38800 41320 48500 51650 82640 97000 100201 103300 129125 194000 200402 206600 258250 400804 413200 501005 516500 801608 1002010 1033000 1603216 2004020 2066000 2505025 4008040 5010050 8016080 10020100 12525125 20040200 25050250 40080400 50100500 100201000 200402000