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200020002 = 23713379901
BaseRepresentation
bin10111110110000…
…01000000100010
3111221101001212020
423323001000202
5402201120002
631503042310
74646066460
oct1373010042
9457331766
10200020002
11a29a6a96
1256ba0396
1332593440
141c7c9830
15128602bc
hexbec1022

200020002 has 64 divisors (see below), whose sum is σ = 505714944. Its totient is φ = 51321600.

The previous prime is 200019997. The next prime is 200020031.

200020002 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (6).

200020002 is a modest number, since divided by 20002 gives 2 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15252 + ... + 25152.

It is an arithmetic number, because the mean of its divisors is an integer number (7901796).

Almost surely, 2200020002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200020002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252857472).

200020002 is an abundant number, since it is smaller than the sum of its proper divisors (305694942).

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

200020002 is a wasteful number, since it uses less digits than its factorization.

200020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9963.

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 200020002 is about 14142.8427835425. The cubic root of 200020002 is about 584.8230423936.

The spelling of 200020002 in words is "two hundred million, twenty thousand, two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 6734 9901 10101 19802 20202 29703 59406 69307 128713 138614 207921 257426 366337 386139 415842 732674 772278 900991 1099011 1801982 2198022 2564359 2702973 4762381 5128718 5405946 7693077 9524762 14287143 15386154 28574286 33336667 66673334 100010001 200020002