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1220011000 = 23531327219
BaseRepresentation
bin100100010110111…
…1110001111111000
310011000122222110121
41020231332033320
54444310323000
6321021023024
742142631245
oct11055761770
93130588417
101220011000
1157673435a
122a06b4a74
131659ac900
14b805c5cc
157218eb1a
hex48b7e3f8

1220011000 has 96 divisors (see below), whose sum is σ = 3091748400. Its totient is φ = 450403200.

The previous prime is 1220010977. The next prime is 1220011003. The reversal of 1220011000 is 1100221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220011003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165391 + ... + 172609.

Almost surely, 21220011000 is an apocalyptic number.

1220011000 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 1220011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545874200).

1220011000 is an abundant number, since it is smaller than the sum of its proper divisors (1871737400).

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

1220011000 is a wasteful number, since it uses less digits than its factorization.

1220011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7266 (or 7239 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1220011000 is about 34928.6558573330. The cubic root of 1220011000 is about 1068.5329415674.

Adding to 1220011000 its reverse (1100221), we get a palindrome (1221111221).

The spelling of 1220011000 in words is "one billion, two hundred twenty million, eleven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 169 200 250 260 325 338 500 520 650 676 845 1000 1300 1352 1625 1690 2600 3250 3380 4225 6500 6760 7219 8450 13000 14438 16900 21125 28876 33800 36095 42250 57752 72190 84500 93847 144380 169000 180475 187694 288760 360950 375388 469235 721900 750776 902375 938470 1220011 1443800 1804750 1876940 2346175 2440022 3609500 3753880 4692350 4880044 6100055 7219000 9384700 9760088 11730875 12200110 18769400 23461750 24400220 30500275 46923500 48800440 61000550 93847000 122001100 152501375 244002200 305002750 610005500 1220011000