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2192841990 = 233561313249
BaseRepresentation
bin1000001010110100…
…0001110100000110
312122211012220201000
42002231001310012
513442331420430
61001332114130
7105224564223
oct20255016406
95584186630
102192841990
11a25890709
12512465946
1328c3c6551
1416b33694a
15cc7a5e60
hex82b41d06

2192841990 has 64 divisors (see below), whose sum is σ = 5857560000. Its totient is φ = 583759872.

The previous prime is 2192841983. The next prime is 2192841997. The reversal of 2192841990 is 991482912.

It is an interprime number because it is at equal distance from previous prime (2192841983) and next prime (2192841997).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2192841997) 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, 158886 + ... + 172134.

It is an arithmetic number, because the mean of its divisors is an integer number (91524375).

Almost surely, 22192841990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2192841990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928780000).

2192841990 is an abundant number, since it is smaller than the sum of its proper divisors (3664718010).

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

2192841990 is a wasteful number, since it uses less digits than its factorization.

2192841990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13878 (or 13872 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 2192841990 is about 46827.7907870956. The cubic root of 2192841990 is about 1299.1793617572.

The spelling of 2192841990 in words is "two billion, one hundred ninety-two million, eight hundred forty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 613 1226 1839 3065 3678 5517 6130 9195 11034 13249 16551 18390 26498 27585 33102 39747 55170 66245 79494 82755 119241 132490 165510 198735 238482 357723 397470 596205 715446 1192410 1788615 3577230 8121637 16243274 24364911 40608185 48729822 73094733 81216370 121824555 146189466 219284199 243649110 365473665 438568398 730947330 1096420995 2192841990