Search a number
-
+
1222028640 = 253357223251
BaseRepresentation
bin100100011010110…
…1010110101100000
310011011110111011000
41020311222311200
510000314404030
6321132152000
742166033500
oct11065526540
93134414130
101222028640
11577892228
122a1308600
13166238091
14b8425a00
157243c860
hex48d6ad60

1222028640 has 576 divisors, whose sum is σ = 5212408320. Its totient is φ = 266112000.

The previous prime is 1222028609. The next prime is 1222028659. The reversal of 1222028640 is 468202221.

It is a happy number.

1222028640 is a `hidden beast` number, since 12 + 2 + 2 + 0 + 2 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4868515 + ... + 4868765.

It is an arithmetic number, because the mean of its divisors is an integer number (9049320).

Almost surely, 21222028640 is an apocalyptic number.

1222028640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222028640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606204160).

1222028640 is an abundant number, since it is smaller than the sum of its proper divisors (3990379680).

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

1222028640 is a wasteful number, since it uses less digits than its factorization.

1222028640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1222028640 is about 34957.5262282674. The cubic root of 1222028640 is about 1069.1216595979.

The spelling of 1222028640 in words is "one billion, two hundred twenty-two million, twenty-eight thousand, six hundred forty".