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1220022000 = 24345317443
BaseRepresentation
bin100100010111000…
…0000111011110000
310011000200112120000
41020232000323300
54444311201000
6321021150000
742143005311
oct11056007360
93130615500
101220022000
1157674164a
122a06bb300
131659b4912
14b8062608
1572193000
hex48b80ef0

1220022000 has 400 divisors, whose sum is σ = 4676566752. Its totient is φ = 305510400.

The previous prime is 1220021989. The next prime is 1220022029. The reversal of 1220022000 is 2200221.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2753779 + ... + 2754221.

Almost surely, 21220022000 is an apocalyptic number.

1220022000 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 1220022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338283376).

1220022000 is an abundant number, since it is smaller than the sum of its proper divisors (3456544752).

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

1220022000 is a wasteful number, since it uses less digits than its factorization.

1220022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1220022000 is about 34928.8133208101. The cubic root of 1220022000 is about 1068.5361529666.

Adding to 1220022000 its reverse (2200221), we get a palindrome (1222222221).

The spelling of 1220022000 in words is "one billion, two hundred twenty million, twenty-two thousand".