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2191971942 = 23417246819
BaseRepresentation
bin1000001010100110…
…1101011001100110
312122202120201020000
42002221231121212
513442121100232
61001301322130
7105214311516
oct20251553146
95582521200
102191971942
11a25346a66
12512106346
1328c180524
1416b18b846
15cc68327c
hex82a6d666

2191971942 has 60 divisors (see below), whose sum is σ = 5217667620. Its totient is φ = 687662784.

The previous prime is 2191971941. The next prime is 2191971961. The reversal of 2191971942 is 2491791912.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2191971941) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23409 + ... + 70227.

It is an arithmetic number, because the mean of its divisors is an integer number (86961127).

Almost surely, 22191971942 is an apocalyptic number.

It is a pronic number, being equal to 46818×46819.

It is a practical number, because each smaller number is the sum of distinct divisors of 2191971942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608833810).

2191971942 is an abundant number, since it is smaller than the sum of its proper divisors (3025695678).

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

2191971942 is a wasteful number, since it uses less digits than its factorization.

2191971942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46867 (or 46841 counting only the distinct ones).

The product of its digits is 81648, while the sum is 45.

The square root of 2191971942 is about 46818.4999973301. The cubic root of 2191971942 is about 1299.0075150641.

The spelling of 2191971942 in words is "two billion, one hundred ninety-one million, nine hundred seventy-one thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 289 306 459 578 867 918 1377 1734 2601 2754 5202 7803 15606 23409 46818 46819 93638 140457 280914 421371 795923 842742 1264113 1591846 2387769 2528226 3792339 4775538 7163307 7584678 13530691 14326614 21489921 27061382 40592073 42979842 64469763 81184146 121776219 128939526 243552438 365328657 730657314 1095985971 2191971942