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22314351540 = 223513197145219
BaseRepresentation
bin10100110010000010…
…011111101110110100
32010121010101111201110
4110302002133232310
5331144433222130
614130121555020
71416653600325
oct246202375664
963533344643
1022314351540
119510962648
1243a9045a70
132148006210
14111980c44c
158a9024ab0
hex53209fbb4

22314351540 has 96 divisors (see below), whose sum is σ = 67628373120. Its totient is φ = 5464843776.

The previous prime is 22314351533. The next prime is 22314351559. The reversal of 22314351540 is 4515341322.

It is a super-3 number, since 3×223143515403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22314351498 and 22314351507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81051 + ... + 226269.

It is an arithmetic number, because the mean of its divisors is an integer number (704462220).

Almost surely, 222314351540 is an apocalyptic number.

22314351540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22314351540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33814186560).

22314351540 is an abundant number, since it is smaller than the sum of its proper divisors (45314021580).

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

22314351540 is a wasteful number, since it uses less digits than its factorization.

22314351540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145441 (or 145439 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 22314351540 its reverse (4515341322), we get a palindrome (26829692862).

The spelling of 22314351540 in words is "twenty-two billion, three hundred fourteen million, three hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 197 260 390 394 591 780 788 985 1182 1970 2364 2561 2955 3940 5122 5910 7683 10244 11820 12805 15366 25610 30732 38415 51220 76830 145219 153660 290438 435657 580876 726095 871314 1452190 1742628 1887847 2178285 2904380 3775694 4356570 5663541 7551388 8713140 9439235 11327082 18878470 22654164 28317705 28608143 37756940 56635410 57216286 85824429 113270820 114432572 143040715 171648858 286081430 343297716 371905859 429122145 572162860 743811718 858244290 1115717577 1487623436 1716488580 1859529295 2231435154 3719058590 4462870308 5578587885 7438117180 11157175770 22314351540