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203340000400 = 24522292219869
BaseRepresentation
bin1011110101100000000…
…0100010110010010000
3201102212010002021200221
42331120000202302100
511312420020003100
6233225121522424
720455645325335
oct2753000426220
9642763067627
10203340000400
1179266146a09
12334aa1a3414
1316237298284
149bad91098c
1554517c901a
hex2f58022c90

203340000400 has 60 divisors (see below), whose sum is σ = 490657866100. Its totient is φ = 80980784640.

The previous prime is 203340000397. The next prime is 203340000401. The reversal of 203340000400 is 4000043302.

It can be written as a sum of positive squares in 6 ways, for example, as 14090639616 + 189249360784 = 118704^2 + 435028^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (203340000401) 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, 1018335 + ... + 1201534.

Almost surely, 2203340000400 is an apocalyptic number.

203340000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203340000400 is an abundant number, since it is smaller than the sum of its proper divisors (287317865700).

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

203340000400 is a wasteful number, since it uses less digits than its factorization.

203340000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220116 (or 2220105 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 203340000400 its reverse (4000043302), we get a palindrome (207340043702).

The spelling of 203340000400 in words is "two hundred three billion, three hundred forty million, four hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 229 400 458 916 1145 1832 2290 3664 4580 5725 9160 11450 18320 22900 45800 91600 2219869 4439738 8879476 11099345 17758952 22198690 35517904 44397380 55496725 88794760 110993450 177589520 221986900 443973800 508350001 887947600 1016700002 2033400004 2541750005 4066800008 5083500010 8133600016 10167000020 12708750025 20334000040 25417500050 40668000080 50835000100 101670000200 203340000400