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2123190 = 232531761
BaseRepresentation
bin1000000110010110110110
310222212110200
420012112312
51020420230
6113301330
724022026
oct10062666
93885420
102123190
111220203
12864846
13594534
143d3a86
152be160
hex2065b6

2123190 has 48 divisors (see below), whose sum is σ = 5705856. Its totient is φ = 547200.

The previous prime is 2123167. The next prime is 2123203. The reversal of 2123190 is 913212.

It is a happy number.

It is a super-2 number, since 2×21231902 = 9015871552200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2410 + ... + 3170.

It is an arithmetic number, because the mean of its divisors is an integer number (118872).

22123190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852928).

2123190 is an abundant number, since it is smaller than the sum of its proper divisors (3582666).

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

2123190 is a wasteful number, since it uses less digits than its factorization.

2123190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 802 counting only the distinct ones).

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

The square root of 2123190 is about 1457.1170165776. The cubic root of 2123190 is about 128.5275670491.

It can be divided in two parts, 21231 and 90, that added together give a triangular number (21321 = T206).

The spelling of 2123190 in words is "two million, one hundred twenty-three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 761 930 1395 1522 2283 2790 3805 4566 6849 7610 11415 13698 22830 23591 34245 47182 68490 70773 117955 141546 212319 235910 353865 424638 707730 1061595 2123190