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400220233223223 = 37434331023583777
BaseRepresentation
bin101101011111111111000100…
…0110101010100110000110111
31221111001200101011221001000010
41122333332020311110300313
5404424202014201120343
63535110345325151303
7150204646321302330
oct13277761065246067
91844050334831003
10400220233223223
111065824a1a30986
1238a794423bb533
13142417b5661c5a
1470b8a969a1287
1531409a7a3bd33
hex16bff88d54c37

400220233223223 has 32 divisors (see below), whose sum is σ = 625483386390016. Its totient is φ = 222862848380928.

The previous prime is 400220233223203. The next prime is 400220233223227. The reversal of 400220233223223 is 322322332022004.

It is not a de Polignac number, because 400220233223223 - 26 = 400220233223159 is a prime.

It is a super-2 number, since 2×4002202332232232 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400220233223227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511400890 + ... + 512182887.

It is an arithmetic number, because the mean of its divisors is an integer number (19546355824688).

Almost surely, 2400220233223223 is an apocalyptic number.

400220233223223 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

400220233223223 is a deficient number, since it is larger than the sum of its proper divisors (225263153166793).

400220233223223 is a wasteful number, since it uses less digits than its factorization.

400220233223223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023584263.

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 400220233223223 its reverse (322322332022004), we get a palindrome (722542565245227).

The spelling of 400220233223223 in words is "four hundred trillion, two hundred twenty billion, two hundred thirty-three million, two hundred twenty-three thousand, two hundred twenty-three".

Divisors: 1 3 7 21 43 129 301 433 903 1299 3031 9093 18619 55857 130333 390999 1023583777 3070751331 7165086439 21495259317 44014102411 132042307233 308098716877 443211775441 924296150631 1329635326323 3102482428087 9307447284261 19058106343963 57174319031889 133406744407741 400220233223223