Search a number
-
+
22232530020312 = 23323131132028331
BaseRepresentation
bin1010000111000011010100…
…00011011110011111011000
32220201102001020120021220100
411003201222003132133120
510403224210141122222
6115141252220255400
74453150551053223
oct503415203363730
986642036507810
1022232530020312
1170a1843660827
1225b09913a1560
13c5369843cab1
1456c0bb2605ba
152884bc0bc4ac
hex14386a0de7d8

22232530020312 has 96 divisors (see below), whose sum is σ = 62355319004160. Its totient is φ = 7148723256000.

The previous prime is 22232530020289. The next prime is 22232530020313. The reversal of 22232530020312 is 21302003523222.

22232530020312 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 25 + 300 + 20 + 312 = 666.

It is a super-2 number, since 2×222325300203122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22232530020313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15320014 + ... + 16708317.

It is an arithmetic number, because the mean of its divisors is an integer number (649534572960).

Almost surely, 222232530020312 is an apocalyptic number.

It is an amenable number.

22232530020312 is an abundant number, since it is smaller than the sum of its proper divisors (40122788983848).

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

22232530020312 is a wasteful number, since it uses less digits than its factorization.

22232530020312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32028685 (or 32028678 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 22232530020312 its reverse (21302003523222), we get a palindrome (43534533543534).

The spelling of 22232530020312 in words is "twenty-two trillion, two hundred thirty-two billion, five hundred thirty million, twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 311 372 558 622 744 933 1116 1244 1866 2232 2488 2799 3732 5598 7464 9641 11196 19282 22392 28923 38564 57846 77128 86769 115692 173538 231384 347076 694152 32028331 64056662 96084993 128113324 192169986 256226648 288254979 384339972 576509958 768679944 992878261 1153019916 1985756522 2306039832 2978634783 3971513044 5957269566 7943026088 8935904349 9960810941 11914539132 17871808698 19921621882 23829078264 29882432823 35743617396 39843243764 59764865646 71487234792 79686487528 89647298469 119529731292 179294596938 239059462584 308785139171 358589193876 617570278342 717178387752 926355417513 1235140556684 1852710835026 2470281113368 2779066252539 3705421670052 5558132505078 7410843340104 11116265010156 22232530020312