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1422420864 = 27319231331
BaseRepresentation
bin101010011001000…
…0110101110000000
310200010112110121020
41110302012232000
510403114431424
6353051225440
750151243414
oct12462065600
93603473536
101422420864
1166aa12937
12338448280
131988cba67
14d6caad44
1584d23079
hex54c86b80

1422420864 has 192 divisors, whose sum is σ = 4128698880. Its totient is φ = 433382400.

The previous prime is 1422420863. The next prime is 1422420877. The reversal of 1422420864 is 4680242241.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×14224208643 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422420863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4297179 + ... + 4297509.

It is an arithmetic number, because the mean of its divisors is an integer number (21503640).

Almost surely, 21422420864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1422420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064349440).

1422420864 is an abundant number, since it is smaller than the sum of its proper divisors (2706278016).

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

1422420864 is a wasteful number, since it uses less digits than its factorization.

1422420864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 1422420864 is about 37714.9952141055. The cubic root of 1422420864 is about 1124.6292411829.

The spelling of 1422420864 in words is "one billion, four hundred twenty-two million, four hundred twenty thousand, eight hundred sixty-four".