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2202400040 = 235183130071
BaseRepresentation
bin1000001101000101…
…1111010100101000
312200111012111212212
42003101133110220
514002303300130
61002313024252
7105402043241
oct20321372450
95614174785
102202400040
11a30219825
125156b5088
13291391bb9
1416c703cc8
15cd542e95
hex8345f528

2202400040 has 32 divisors (see below), whose sum is σ = 4958271360. Its totient is φ = 880449600.

The previous prime is 2202400037. The next prime is 2202400043. The reversal of 2202400040 is 400042022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2202400037) and next prime (2202400043).

It is a junction number, because it is equal to n+sod(n) for n = 2202399988 and 2202400024.

It is not an unprimeable number, because it can be changed into a prime (2202400043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58205 + ... + 88275.

It is an arithmetic number, because the mean of its divisors is an integer number (154945980).

Almost surely, 22202400040 is an apocalyptic number.

2202400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202400040 is an abundant number, since it is smaller than the sum of its proper divisors (2755871320).

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

2202400040 is a wasteful number, since it uses less digits than its factorization.

2202400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31913 (or 31909 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2202400040 is about 46929.7351366913. The cubic root of 2202400040 is about 1301.0642251975.

Adding to 2202400040 its reverse (400042022), we get a palindrome (2602442062).

The spelling of 2202400040 in words is "two billion, two hundred two million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1831 3662 7324 9155 14648 18310 30071 36620 60142 73240 120284 150355 240568 300710 601420 1202840 55060001 110120002 220240004 275300005 440480008 550600010 1101200020 2202400040