Search a number
-
+
22464103142340 = 22325612045911033
BaseRepresentation
bin1010001101110010101001…
…11000110101001111000100
32221112112202222020202111200
411012321110320311033010
510421022440401023330
6115435511100102500
74505656263112536
oct506712470651704
987475688222450
1022464103142340
117180a77649902
12262983a834a30
13c6c481a08ba2
145793a8685856
1528e52230aa60
hex146e54e353c4

22464103142340 has 72 divisors (see below), whose sum is σ = 69258180322968. Its totient is φ = 5892223772160.

The previous prime is 22464103142339. The next prime is 22464103142357. The reversal of 22464103142340 is 4324130146422.

22464103142340 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 410 + 3 + 1 + 4 + 234 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 783979201476 + 21680123940864 = 885426^2 + 4656192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22464103142295 and 22464103142304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1022944537 + ... + 1022966496.

Almost surely, 222464103142340 is an apocalyptic number.

22464103142340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22464103142340 is an abundant number, since it is smaller than the sum of its proper divisors (46794077180628).

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

22464103142340 is a wasteful number, since it uses less digits than its factorization.

22464103142340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045911109 (or 2045911104 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 22464103142340 its reverse (4324130146422), we get a palindrome (26788233288762).

The spelling of 22464103142340 in words is "twenty-two trillion, four hundred sixty-four billion, one hundred three million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 2045911033 4091822066 6137733099 8183644132 10229555165 12275466198 18413199297 20459110330 24550932396 30688665495 36826398594 40918220660 61377330990 73652797188 92065996485 122754661980 124800573013 184131992970 249601146026 368263985940 374401719039 499202292052 624002865065 748803438078 1123205157117 1248005730130 1497606876156 1872008595195 2246410314234 2496011460260 3744017190390 4492820628468 5616025785585 7488034380780 11232051571170 22464103142340