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130220190 = 23353071571
BaseRepresentation
bin1111100001100…
…00000010011110
3100002000212112000
413300300002132
5231314021230
620531023130
73140565462
oct760600236
9302025460
10130220190
11675623a1
123773aaa6
1320c94a89
141341a4a2
15b673b60
hex7c3009e

130220190 has 64 divisors (see below), whose sum is σ = 348606720. Its totient is φ = 34590240.

The previous prime is 130220143. The next prime is 130220191. The reversal of 130220190 is 91022031.

It is a happy number.

It is a super-2 number, since 2×1302201902 = 33914595767272200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130220191) 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, 82105 + ... + 83675.

It is an arithmetic number, because the mean of its divisors is an integer number (5446980).

Almost surely, 2130220190 is an apocalyptic number.

130220190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130220190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174303360).

130220190 is an abundant number, since it is smaller than the sum of its proper divisors (218386530).

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

130220190 is a wasteful number, since it uses less digits than its factorization.

130220190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 130220190 is about 11411.4061359676. The cubic root of 130220190 is about 506.8655502877.

The spelling of 130220190 in words is "one hundred thirty million, two hundred twenty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 307 614 921 1535 1571 1842 2763 3070 3142 4605 4713 5526 7855 8289 9210 9426 13815 14139 15710 16578 23565 27630 28278 41445 42417 47130 70695 82890 84834 141390 212085 424170 482297 964594 1446891 2411485 2893782 4340673 4822970 7234455 8681346 13022019 14468910 21703365 26044038 43406730 65110095 130220190