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400222040004 = 223237300466997
BaseRepresentation
bin1011101001011110001…
…01111010111111000100
31102021001011101011121200
411310233011322333010
523024123320240004
6503505351142500
740625606131653
oct5645705727704
91367034334550
10400222040004
111448079a9336
1265695674a30
132b982641467
141552988119a
15a626158239
hex5d2f17afc4

400222040004 has 36 divisors (see below), whose sum is σ = 1039014879084. Its totient is φ = 129801742272.

The previous prime is 400222039981. The next prime is 400222040017. The reversal of 400222040004 is 400040222004.

400222040004 is a `hidden beast` number, since 40 + 0 + 2 + 220 + 400 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 289400961600 + 110821078404 = 537960^2 + 332898^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150232167 + ... + 150234830.

It is an arithmetic number, because the mean of its divisors is an integer number (28861524419).

Almost surely, 2400222040004 is an apocalyptic number.

It is an amenable number.

400222040004 is an abundant number, since it is smaller than the sum of its proper divisors (638792839080).

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

400222040004 is a wasteful number, since it uses less digits than its factorization.

400222040004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300467044 (or 300467039 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 400222040004 its reverse (400040222004), we get a palindrome (800262262008).

The spelling of 400222040004 in words is "four hundred billion, two hundred twenty-two million, forty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 300466997 600933994 901400991 1201867988 1802801982 2704202973 3605603964 5408405946 10816811892 11117278889 22234557778 33351836667 44469115556 66703673334 100055510001 133407346668 200111020002 400222040004