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1220034140 = 2251331229661
BaseRepresentation
bin100100010111000…
…0011111001011100
310011000201011012122
41020232003321130
54444312043030
6321021322112
742143055563
oct11056037134
93130634178
101220034140
1157674a786
122a0706338
131659ba2c0
14b8066bda
15721968e5
hex48b83e5c

1220034140 has 96 divisors (see below), whose sum is σ = 2864924160. Its totient is φ = 433382400.

The previous prime is 1220034139. The next prime is 1220034143. The reversal of 1220034140 is 414300221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220034143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1845410 + ... + 1846070.

It is an arithmetic number, because the mean of its divisors is an integer number (29842960).

Almost surely, 21220034140 is an apocalyptic number.

1220034140 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 1220034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432462080).

1220034140 is an abundant number, since it is smaller than the sum of its proper divisors (1644890020).

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

1220034140 is a wasteful number, since it uses less digits than its factorization.

1220034140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1220034140 is about 34928.9871024054. The cubic root of 1220034140 is about 1068.5396971611.

Adding to 1220034140 its reverse (414300221), we get a palindrome (1634334361).

The spelling of 1220034140 in words is "one billion, two hundred twenty million, thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 229 260 310 403 458 620 661 806 916 1145 1322 1612 2015 2290 2644 2977 3305 4030 4580 5954 6610 7099 8060 8593 11908 13220 14198 14885 17186 20491 28396 29770 34372 35495 40982 42965 59540 70990 81964 85930 92287 102455 141980 151369 171860 184574 204910 266383 302738 369148 409820 461435 532766 605476 756845 922870 1065532 1331915 1513690 1845740 1967797 2663830 3027380 3935594 4692439 5327660 7871188 9384878 9838985 18769756 19677970 23462195 39355940 46924390 61001707 93848780 122003414 244006828 305008535 610017070 1220034140