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2190443742 = 233476911249
BaseRepresentation
bin1000001010001111…
…1000010011011110
312122122201001221000
42002203320103132
513441223144432
61001204451130
7105165315234
oct20243702336
95578631830
102190443742
11a244a2893
125116a9aa6
1328ba66a76
1416acb0954
15cc48057c
hex828f84de

2190443742 has 64 divisors (see below), whose sum is σ = 4982400000. Its totient is φ = 713007360.

The previous prime is 2190443741. The next prime is 2190443743. The reversal of 2190443742 is 2473440912.

2190443742 is a `hidden beast` number, since 219 + 0 + 4 + 437 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2190443741) and next prime (2190443743).

It is a junction number, because it is equal to n+sod(n) for n = 2190443697 and 2190443706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190443741) 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, 1753134 + ... + 1754382.

It is an arithmetic number, because the mean of its divisors is an integer number (77850000).

Almost surely, 22190443742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2190443742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491200000).

2190443742 is an abundant number, since it is smaller than the sum of its proper divisors (2791956258).

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

2190443742 is a wasteful number, since it uses less digits than its factorization.

2190443742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2190443742 is about 46802.1766801503. The cubic root of 2190443742 is about 1298.7055639975.

The spelling of 2190443742 in words is "two billion, one hundred ninety million, four hundred forty-three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 691 846 1249 1269 1382 2073 2498 2538 3747 4146 6219 7494 11241 12438 18657 22482 32477 33723 37314 58703 64954 67446 97431 117406 176109 194862 292293 352218 528327 584586 863059 876879 1056654 1584981 1726118 1753758 2589177 3169962 5178354 7767531 15535062 23302593 40563773 46605186 81127546 121691319 243382638 365073957 730147914 1095221871 2190443742