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1220002560 = 283457412
BaseRepresentation
bin100100010110111…
…1100001100000000
310011000122112220000
41020231330030000
54444310040220
6321020520000
742142564530
oct11055741400
93130575800
101220002560
11576728a87
122a06b0000
131659a8b0a
14b80594c0
157218c390
hex48b7c300

1220002560 has 540 divisors, whose sum is σ = 5113671024. Its totient is φ = 272056320.

The previous prime is 1220002549. The next prime is 1220002561. The reversal of 1220002560 is 652000221.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is not an unprimeable number, because it can be changed into a prime (1220002561) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29756140 + ... + 29756180.

Almost surely, 21220002560 is an apocalyptic number.

1220002560 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 1220002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556835512).

1220002560 is an abundant number, since it is smaller than the sum of its proper divisors (3893668464).

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

1220002560 is an frugal number, since it uses more digits than its factorization.

1220002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1220002560 is about 34928.5350394201. The cubic root of 1220002560 is about 1068.5304775353.

Adding to 1220002560 its reverse (652000221), we get a palindrome (1872002781).

The spelling of 1220002560 in words is "one billion, two hundred twenty million, two thousand, five hundred sixty".