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2022422100534 = 2331135317475521
BaseRepresentation
bin11101011011100001110…
…000000011101000110110
321011100020001222120112000
4131123201300003220312
5231113410024204114
64145030552240130
7266054335133403
oct35334160035066
97140201876460
102022422100534
1170a782607890
12287b610a0046
13118937995194
146dc587092aa
153791b6d7e09
hex1d6e1c03a36

2022422100534 has 128 divisors (see below), whose sum is σ = 4920435970560. Its totient is φ = 610658611200.

The previous prime is 2022422100467. The next prime is 2022422100539. The reversal of 2022422100534 is 4350012242202.

2022422100534 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 4 + 22 + 100 + 534 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2022422100498 and 2022422100507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022422100539) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 366311694 + ... + 366317214.

It is an arithmetic number, because the mean of its divisors is an integer number (38440906020).

Almost surely, 22022422100534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022422100534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460217985280).

2022422100534 is an abundant number, since it is smaller than the sum of its proper divisors (2898013870026).

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

2022422100534 is a wasteful number, since it uses less digits than its factorization.

2022422100534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7643 (or 7637 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 2022422100534 its reverse (4350012242202), we get a palindrome (6372434342736).

The spelling of 2022422100534 in words is "two trillion, twenty-two billion, four hundred twenty-two million, one hundred thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 353 594 706 1059 1747 2118 3177 3494 3883 5241 5521 6354 7766 9531 10482 11042 11649 15723 16563 19062 19217 23298 31446 33126 34947 38434 47169 49689 57651 60731 69894 94338 99378 104841 115302 121462 149067 172953 182193 209682 298134 345906 364386 518859 546579 616691 1037718 1093158 1233382 1639737 1850073 1948913 3279474 3700146 3897826 5550219 5846739 6783601 9645187 11100438 11693478 13567202 16650657 17540217 19290374 20350803 21438043 28935561 33301314 35080434 40701606 42876086 52620651 57871122 61052409 64314129 86806683 105241302 106097057 122104818 128628258 173613366 183157227 192942387 212194114 260420049 318291171 366314454 385884774 520840098 578827161 636582342 954873513 1157654322 1909747026 2864620539 3404751011 5729241078 6809502022 10214253033 20428506066 30642759099 37452261121 61285518198 74904522242 91928277297 112356783363 183856554594 224713566726 337070350089 674140700178 1011211050267 2022422100534