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1225529820 = 2232531219629
BaseRepresentation
bin100100100001100…
…0001100111011100
310011102001100212100
41021003001213130
510002213423240
6321335205100
742240555144
oct11103014734
93142040770
101225529820
11579863769
122a2516790
13166b92898
14b8a97924
15728cee30
hex490c19dc

1225529820 has 72 divisors (see below), whose sum is σ = 3837375360. Its totient is φ = 316264320.

The previous prime is 1225529803. The next prime is 1225529827. The reversal of 1225529820 is 289255221.

1225529820 is a `hidden beast` number, since 1 + 22 + 552 + 9 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225529827) 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, 104235 + ... + 115394.

It is an arithmetic number, because the mean of its divisors is an integer number (53296880).

Almost surely, 21225529820 is an apocalyptic number.

1225529820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225529820 is an abundant number, since it is smaller than the sum of its proper divisors (2611845540).

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

1225529820 is a wasteful number, since it uses less digits than its factorization.

1225529820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219675 (or 219670 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1225529820 is about 35007.5680389255. The cubic root of 1225529820 is about 1070.1417170432.

The spelling of 1225529820 in words is "one billion, two hundred twenty-five million, five hundred twenty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 219629 439258 658887 878516 1098145 1317774 1976661 2196290 2635548 3294435 3953322 4392580 6588870 6808499 7906644 9883305 13177740 13616998 19766610 20425497 27233996 34042495 39533220 40850994 61276491 68084990 81701988 102127485 122552982 136169980 204254970 245105964 306382455 408509940 612764910 1225529820