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2342024234022 = 2311261396713331
BaseRepresentation
bin100010000101001011100…
…001011100010000100110
322021220011200210011021010
4202011023201130100212
5301332431200442042
64551524443203050
7331130354345214
oct42051341342046
98256150704233
102342024234022
11823279695100
12319a97216486
1313cb0c926235
14814d6d65cb4
1540dc4c2159c
hex2214b85c426

2342024234022 has 96 divisors (see below), whose sum is σ = 5234696957952. Its totient is φ = 697841496000.

The previous prime is 2342024234003. The next prime is 2342024234041. The reversal of 2342024234022 is 2204324202432.

It is an interprime number because it is at equal distance from previous prime (2342024234003) and next prime (2342024234041).

It is a congruent number.

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, 175675897 + ... + 175689227.

It is an arithmetic number, because the mean of its divisors is an integer number (54528093312).

Almost surely, 22342024234022 is an apocalyptic number.

2342024234022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342024234022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617348478976).

2342024234022 is an abundant number, since it is smaller than the sum of its proper divisors (2892672723930).

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

2342024234022 is a wasteful number, since it uses less digits than its factorization.

2342024234022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17386 (or 17375 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 2342024234022 its reverse (2204324202432), we get a palindrome (4546348436454).

The spelling of 2342024234022 in words is "two trillion, three hundred forty-two billion, twenty-four million, two hundred thirty-four thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 61 66 121 122 183 242 363 366 671 726 1342 2013 3967 4026 7381 7934 11901 13331 14762 22143 23802 26662 39993 43637 44286 79986 87274 130911 146641 241987 261822 293282 439923 480007 483974 725961 813191 879846 960014 1440021 1451922 1613051 1626382 2439573 2661857 2880042 3226102 4839153 4879146 5323714 7985571 8945101 9678306 15971142 17890202 26835303 29280427 52884077 53670606 58560854 87841281 98396111 105768154 158652231 175682562 196792222 295188333 317304462 581724847 590376666 1163449694 1745174541 3225928697 3490349082 6398973317 6451857394 9677786091 12797946634 19196919951 19355572182 35485215667 38393839902 70970431334 106455647001 212911294002 390337372337 780674744674 1171012117011 2342024234022