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1220332000 = 25531916057
BaseRepresentation
bin100100010111100…
…1100100111100000
310011001021021210111
41020233030213200
54444401111000
6321031541104
742145436146
oct11057144740
93131237714
101220332000
11576933548
122a082a794
13165a92a54
14b8103596
1572204cba
hex48bcc9e0

1220332000 has 96 divisors (see below), whose sum is σ = 3156360480. Its totient is φ = 462412800.

The previous prime is 1220331997. The next prime is 1220332007. The reversal of 1220332000 is 2330221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220332007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67972 + ... + 84028.

It is an arithmetic number, because the mean of its divisors is an integer number (32878755).

Almost surely, 21220332000 is an apocalyptic number.

1220332000 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 1220332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578180240).

1220332000 is an abundant number, since it is smaller than the sum of its proper divisors (1936028480).

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

1220332000 is a wasteful number, since it uses less digits than its factorization.

1220332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16101 (or 16083 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 1220332000 is about 34933.2506360344. The cubic root of 1220332000 is about 1068.6266480985.

Adding to 1220332000 its reverse (2330221), we get a palindrome (1222662221).

The spelling of 1220332000 in words is "one billion, two hundred twenty million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 760 800 950 1000 1520 1900 2000 2375 3040 3800 4000 4750 7600 9500 15200 16057 19000 32114 38000 64228 76000 80285 128456 160570 256912 305083 321140 401425 513824 610166 642280 802850 1220332 1284560 1525415 1605700 2007125 2440664 2569120 3050830 3211400 4014250 4881328 6101660 6422800 7627075 8028500 9762656 12203320 12845600 15254150 16057000 24406640 30508300 32114000 38135375 48813280 61016600 64228000 76270750 122033200 152541500 244066400 305083000 610166000 1220332000