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1225263220 = 225315713461
BaseRepresentation
bin100100100001000…
…0000100001110100
310011101112211011021
41021002000201310
510002131410340
6321325350524
742235364656
oct11102004164
93141484137
101225263220
115796a1435
122a2408444
13166acb42c
14b8a286d6
157287ae4a
hex49080874

1225263220 has 48 divisors (see below), whose sum is σ = 2661474816. Its totient is φ = 473328000.

The previous prime is 1225263217. The next prime is 1225263239. The reversal of 1225263220 is 223625221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352290 + ... + 355750.

It is an arithmetic number, because the mean of its divisors is an integer number (55447392).

Almost surely, 21225263220 is an apocalyptic number.

1225263220 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 1225263220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330737408).

1225263220 is an abundant number, since it is smaller than the sum of its proper divisors (1436211596).

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

1225263220 is a wasteful number, since it uses less digits than its factorization.

1225263220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4072 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1225263220 is about 35003.7600837396. The cubic root of 1225263220 is about 1070.0641123840.

Adding to 1225263220 its reverse (223625221), we get a palindrome (1448888441).

The spelling of 1225263220 in words is "one billion, two hundred twenty-five million, two hundred sixty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 571 620 1142 2284 2855 3461 5710 6922 11420 13844 17305 17701 34610 35402 69220 70804 88505 107291 177010 214582 354020 429164 536455 1072910 1976231 2145820 3952462 7904924 9881155 19762310 39524620 61263161 122526322 245052644 306315805 612631610 1225263220