Search a number
-
+
10002221220 = 2235295748403
BaseRepresentation
bin10010101000010110…
…11100100010100100
3221211001221111001210
421110023130202210
5130441032034340
64332302151420
7502602322545
oct112413344244
927731844053
1010002221220
114272aa1932
121b31882570
13c352b74c4
146ac5804cc
153d819b180
hex2542dc8a4

10002221220 has 48 divisors (see below), whose sum is σ = 28971956160. Its totient is φ = 2575284096.

The previous prime is 10002221219. The next prime is 10002221227. The reversal of 10002221220 is 2212220001.

It is a super-5 number, since 5×100022212205 (a number of 51 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10002221196 and 10002221205.

It is not an unprimeable number, because it can be changed into a prime (10002221227) 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, 2872462 + ... + 2875941.

It is an arithmetic number, because the mean of its divisors is an integer number (603582420).

Almost surely, 210002221220 is an apocalyptic number.

10002221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002221220 is an abundant number, since it is smaller than the sum of its proper divisors (18969734940).

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

10002221220 is a wasteful number, since it uses less digits than its factorization.

10002221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5748444 (or 5748442 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10002221220 its reverse (2212220001), we get a palindrome (12214441221).

The spelling of 10002221220 in words is "ten billion, two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 5748403 11496806 17245209 22993612 28742015 34490418 57484030 68980836 86226045 114968060 166703687 172452090 333407374 344904180 500111061 666814748 833518435 1000222122 1667036870 2000444244 2500555305 3334073740 5001110610 10002221220