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1225273140 = 223257131931127
BaseRepresentation
bin100100100001000…
…0010111100110100
310011101120022202200
41021002002330310
510002132220030
6321325504500
742235435620
oct11102027464
93141508680
101225273140
115796a8933
122a2412130
13166b02ac0
14b8a2c180
157287dd60
hex49082f34

1225273140 has 576 divisors, whose sum is σ = 5009571840. Its totient is φ = 235146240.

The previous prime is 1225273097. The next prime is 1225273183. The reversal of 1225273140 is 413725221.

1225273140 is a `hidden beast` number, since 122 + 527 + 3 + 14 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1225273097) and next prime (1225273183).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9647757 + ... + 9647883.

Almost surely, 21225273140 is an apocalyptic number.

1225273140 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 1225273140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504785920).

1225273140 is an abundant number, since it is smaller than the sum of its proper divisors (3784298700).

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

1225273140 is a wasteful number, since it uses less digits than its factorization.

1225273140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1225273140 is about 35003.9017825156. The cubic root of 1225273140 is about 1070.0670002009.

Adding to 1225273140 its reverse (413725221), we get a palindrome (1638998361).

The spelling of 1225273140 in words is "one billion, two hundred twenty-five million, two hundred seventy-three thousand, one hundred forty".