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1225132040 = 2351116716673
BaseRepresentation
bin100100100000110…
…0000100000001000
310011101022011012202
41021001200200020
510002113211130
6321322455332
742234310346
oct11101404010
93141264182
101225132040
11579611920
122a2364548
13166a83802
14b89d2996
1572852145
hex49060808

1225132040 has 64 divisors (see below), whose sum is σ = 3025330560. Its totient is φ = 442808320.

The previous prime is 1225132039. The next prime is 1225132061. The reversal of 1225132040 is 402315221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65144 + ... + 81816.

It is an arithmetic number, because the mean of its divisors is an integer number (47270790).

Almost surely, 21225132040 is an apocalyptic number.

1225132040 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 1225132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512665280).

1225132040 is an abundant number, since it is smaller than the sum of its proper divisors (1800198520).

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

1225132040 is a wasteful number, since it uses less digits than its factorization.

1225132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16862 (or 16858 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1225132040 is about 35001.8862348874. The cubic root of 1225132040 is about 1070.0259230334.

Adding to 1225132040 its reverse (402315221), we get a palindrome (1627447261).

The spelling of 1225132040 in words is "one billion, two hundred twenty-five million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 167 220 334 440 668 835 1336 1670 1837 3340 3674 6680 7348 9185 14696 16673 18370 33346 36740 66692 73480 83365 133384 166730 183403 333460 366806 666920 733612 917015 1467224 1834030 2784391 3668060 5568782 7336120 11137564 13921955 22275128 27843910 30628301 55687820 61256602 111375640 122513204 153141505 245026408 306283010 612566020 1225132040