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22411240130032 = 24132324771891249
BaseRepresentation
bin1010001100010000001100…
…00000011100010111110000
32221100111022212011111022221
411012020012000130113300
510414141204433130112
6115355325342210424
74502105264660245
oct506100600342760
987314285144287
1022411240130032
11716060a880286
12261b546b83a14
13c674a8a78b50
145769d1a0b5cc
1528ce7b430e07
hex14620601c5f0

22411240130032 has 80 divisors (see below), whose sum is σ = 48814766280000. Its totient is φ = 9889925861376.

The previous prime is 22411240130023. The next prime is 22411240130063. The reversal of 22411240130032 is 23003104211422.

It is a junction number, because it is equal to n+sod(n) for n = 22411240129979 and 22411240130006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10904344 + ... + 12795592.

It is an arithmetic number, because the mean of its divisors is an integer number (610184578500).

Almost surely, 222411240130032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22411240130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24407383140000).

22411240130032 is an abundant number, since it is smaller than the sum of its proper divisors (26403526149968).

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

22411240130032 is a wasteful number, since it uses less digits than its factorization.

22411240130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893770 (or 1893764 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 22411240130032 its reverse (23003104211422), we get a palindrome (45414344341454).

The spelling of 22411240130032 in words is "twenty-two trillion, four hundred eleven billion, two hundred forty million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 368 598 1196 2392 2477 4784 4954 9908 19816 32201 39632 56971 64402 113942 128804 227884 257608 455768 515216 740623 911536 1481246 1891249 2962492 3782498 5924984 7564996 11849968 15129992 24586237 30259984 43498727 49172474 86997454 98344948 173994908 196689896 347989816 393379792 565483451 695979632 1130966902 2261933804 4523867608 4684623773 9047735216 9369247546 18738495092 37476990184 60900109049 74953980368 107746346779 121800218098 215492693558 243600436196 430985387116 487200872392 861970774232 974401744784 1400702508127 1723941548464 2801405016254 5602810032508 11205620065016 22411240130032