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2022101442 = 23323271997
BaseRepresentation
bin111100010000110…
…1101000111000010
312012220221101201000
41320201231013002
513120124221232
6532352352430
7101052402324
oct17041550702
95186841630
102022101442
11948472819
12485245716
13262c1513a
141527ad614
15bc7cb27c
hex7886d1c2

2022101442 has 96 divisors (see below), whose sum is σ = 4768364160. Its totient is φ = 635009760.

The previous prime is 2022101423. The next prime is 2022101453. The reversal of 2022101442 is 2441012202.

2022101442 is a `hidden beast` number, since 2 + 0 + 221 + 0 + 1 + 442 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2027688 + ... + 2028684.

It is an arithmetic number, because the mean of its divisors is an integer number (49670460).

Almost surely, 22022101442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022101442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384182080).

2022101442 is an abundant number, since it is smaller than the sum of its proper divisors (2746262718).

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

2022101442 is a wasteful number, since it uses less digits than its factorization.

2022101442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2022101442 is about 44967.7822668630. The cubic root of 2022101442 is about 1264.5450705740.

Adding to 2022101442 its reverse (2441012202), we get a palindrome (4463113644).

The spelling of 2022101442 in words is "two billion, twenty-two million, one hundred one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 71 138 142 207 213 414 426 529 621 639 997 1058 1242 1278 1587 1633 1917 1994 2991 3174 3266 3834 4761 4899 5982 8973 9522 9798 14283 14697 17946 22931 26919 28566 29394 37559 44091 45862 53838 68793 70787 75118 88182 112677 137586 141574 206379 212361 225354 338031 412758 424722 527413 619137 637083 676062 1014093 1054826 1238274 1274166 1582239 1628101 1911249 2028186 3164478 3256202 3822498 4746717 4884303 9493434 9768606 14240151 14652909 28480302 29305818 37446323 43958727 74892646 87917454 112338969 224677938 337016907 674033814 1011050721 2022101442