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202400211400 = 23527331380629
BaseRepresentation
bin1011110001111111111…
…1100010000111001000
3201100102121201001112221
42330133333202013020
511304003423231100
6232551550543424
720423444260612
oct2743777420710
9640377631487
10202400211400
1178923708592
1233287507b74
13161176800ca
149b20b97db2
1553e903d01a
hex2f1ffe21c8

202400211400 has 48 divisors (see below), whose sum is σ = 471222825300. Its totient is φ = 80849575680.

The previous prime is 202400211383. The next prime is 202400211407. The reversal of 202400211400 is 4112004202.

It can be written as a sum of positive squares in 6 ways, for example, as 192972189796 + 9428021604 = 439286^2 + 97098^2 .

It is not an unprimeable number, because it can be changed into a prime (202400211407) 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, 543715 + ... + 836914.

Almost surely, 2202400211400 is an apocalyptic number.

202400211400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202400211400 is an abundant number, since it is smaller than the sum of its proper divisors (268822613900).

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

202400211400 is a wasteful number, since it uses less digits than its factorization.

202400211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381378 (or 1381369 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202400211400 its reverse (4112004202), we get a palindrome (206512215602).

The spelling of 202400211400 in words is "two hundred two billion, four hundred million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 733 1466 2932 3665 5864 7330 14660 18325 29320 36650 73300 146600 1380629 2761258 5522516 6903145 11045032 13806290 27612580 34515725 55225160 69031450 138062900 276125800 1012001057 2024002114 4048004228 5060005285 8096008456 10120010570 20240021140 25300026425 40480042280 50600052850 101200105700 202400211400