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1002342220 = 225112312431
BaseRepresentation
bin111011101111101…
…000011101001100
32120212002021000221
4323233220131030
54023044422340
6243243401124
733560524345
oct7357503514
92525067027
101002342220
11474883600
1223b8231a4
1312c87a309
149719b0cc
155cee544a
hex3bbe874c

1002342220 has 108 divisors (see below), whose sum is σ = 2396259936. Its totient is φ = 351912000.

The previous prime is 1002342203. The next prime is 1002342223. The reversal of 1002342220 is 222432001.

It is a junction number, because it is equal to n+sod(n) for n = 1002342194 and 1002342203.

It is not an unprimeable number, because it can be changed into a prime (1002342223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2325405 + ... + 2325835.

It is an arithmetic number, because the mean of its divisors is an integer number (22187592).

Almost surely, 21002342220 is an apocalyptic number.

1002342220 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 1002342220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198129968).

1002342220 is an abundant number, since it is smaller than the sum of its proper divisors (1393917716).

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

1002342220 is a wasteful number, since it uses less digits than its factorization.

1002342220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1002342220 is about 31659.7886916511. The cubic root of 1002342220 is about 1000.7801312370.

Adding to 1002342220 its reverse (222432001), we get a palindrome (1224774221).

The spelling of 1002342220 in words is "one billion, two million, three hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 121 124 155 220 242 310 341 431 484 605 620 682 862 961 1210 1364 1705 1724 1922 2155 2420 3410 3751 3844 4310 4741 4805 6820 7502 8620 9482 9610 10571 13361 15004 18755 18964 19220 21142 23705 26722 37510 42284 47410 52151 52855 53444 66805 75020 94820 104302 105710 116281 133610 146971 208604 211420 232562 260755 267220 293942 414191 465124 521510 581405 587884 734855 828382 1043020 1162810 1469710 1616681 1656764 2070955 2325620 2939420 3233362 4141910 4556101 6466724 8083405 8283820 9112202 16166810 18224404 22780505 32333620 45561010 50117111 91122020 100234222 200468444 250585555 501171110 1002342220