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1220022100 = 2252115092179
BaseRepresentation
bin100100010111000…
…0000111101010100
310011000200112200201
41020232000331110
54444311201400
6321021150244
742143005513
oct11056007524
93130615621
101220022100
11576741730
122a06bb384
131659b498b
14b806267a
157219306a
hex48b80f54

1220022100 has 72 divisors (see below), whose sum is σ = 2895127200. Its totient is φ = 442569600.

The previous prime is 1220022077. The next prime is 1220022103. The reversal of 1220022100 is 12200221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220022103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 558811 + ... + 560989.

It is an arithmetic number, because the mean of its divisors is an integer number (40210100).

Almost surely, 21220022100 is an apocalyptic number.

1220022100 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 1220022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447563600).

1220022100 is an abundant number, since it is smaller than the sum of its proper divisors (1675105100).

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

1220022100 is a wasteful number, since it uses less digits than its factorization.

1220022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1220022100 is about 34928.8147522930. The cubic root of 1220022100 is about 1068.5361821610.

Adding to 1220022100 its reverse (12200221), we get a palindrome (1232222321).

1220022100 divided by its reverse (12200221) gives a square (100 = 102).

The spelling of 1220022100 in words is "one billion, two hundred twenty million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 509 550 1018 1100 2036 2179 2545 4358 5090 5599 8716 10180 10895 11198 12725 21790 22396 23969 25450 27995 43580 47938 50900 54475 55990 95876 108950 111980 119845 139975 217900 239690 279950 479380 559900 599225 1109111 1198450 2218222 2396900 4436444 5545555 11091110 12200221 22182220 24400442 27727775 48800884 55455550 61001105 110911100 122002210 244004420 305005525 610011050 1220022100