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1225195020 = 2232572314481
BaseRepresentation
bin100100100000110…
…1111111000001100
310011101102100121100
41021001233320030
510002122220040
6321324103100
742234662100
oct11101577014
93141370540
101225195020
11579655175
122a2394a90
13166aa638a
14b8a0b900
1572865b30
hex4906fe0c

1225195020 has 216 divisors, whose sum is σ = 4463641728. Its totient is φ = 270950400.

The previous prime is 1225194977. The next prime is 1225195043. The reversal of 1225195020 is 205915221.

1225195020 is a `hidden beast` number, since 122 + 519 + 5 + 0 + 20 = 666.

It is a super-2 number, since 2×12251950202 = 3002205674065600800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 271180 + ... + 275660.

It is an arithmetic number, because the mean of its divisors is an integer number (20665008).

Almost surely, 21225195020 is an apocalyptic number.

1225195020 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 1225195020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231820864).

1225195020 is an abundant number, since it is smaller than the sum of its proper divisors (3238446708).

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

1225195020 is a wasteful number, since it uses less digits than its factorization.

1225195020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1225195020 is about 35002.7858891260. The cubic root of 1225195020 is about 1070.0442582212.

The spelling of 1225195020 in words is "one billion, two hundred twenty-five million, one hundred ninety-five thousand, twenty".