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1228940064 = 25321117191201
BaseRepresentation
bin100100101000000…
…0010001100100000
310011122110121211200
41021100002030200
510004102040224
6321540241200
742311550432
oct11120021440
93148417750
101228940064
11580782950
122a36a0200
131677b7b91
14b9304652
1572d555c9
hex49402320

1228940064 has 288 divisors, whose sum is σ = 4252772160. Its totient is φ = 331776000.

The previous prime is 1228940057. The next prime is 1228940173. The reversal of 1228940064 is 4600498221.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1022664 + ... + 1023864.

It is an arithmetic number, because the mean of its divisors is an integer number (14766570).

Almost surely, 21228940064 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 1228940064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126386080).

1228940064 is an abundant number, since it is smaller than the sum of its proper divisors (3023832096).

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

1228940064 is a wasteful number, since it uses less digits than its factorization.

1228940064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1228940064 is about 35056.2414414324. The cubic root of 1228940064 is about 1071.1334145301.

The spelling of 1228940064 in words is "one billion, two hundred twenty-eight million, nine hundred forty thousand, sixty-four".