Search a number
-
+
22782810042 = 2323495216961
BaseRepresentation
bin10101001101111101…
…100001011110111010
32011210202212122222100
4111031331201132322
5333124344410132
614244414404230
71434402455466
oct251575413672
964722778870
1022782810042
119731336433
1244b9b00676
1321c10967b5
141161b134a6
158d520c37c
hex54df617ba

22782810042 has 48 divisors (see below), whose sum is σ = 49606338600. Its totient is φ = 7556889600.

The previous prime is 22782810041. The next prime is 22782810059. The reversal of 22782810042 is 24001828722.

It can be written as a sum of positive squares in 4 ways, for example, as 21594008601 + 1188801441 = 146949^2 + 34479^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22782809979 and 22782810006.

It is not an unprimeable number, because it can be changed into a prime (22782810041) 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, 3269442 + ... + 3276402.

Almost surely, 222782810042 is an apocalyptic number.

22782810042 is an abundant number, since it is smaller than the sum of its proper divisors (26823528558).

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

22782810042 is a wasteful number, since it uses less digits than its factorization.

22782810042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7839 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 22782810042 in words is "twenty-two billion, seven hundred eighty-two million, eight hundred ten thousand, forty-two".

Divisors: 1 2 3 6 9 18 349 521 698 1042 1047 1563 2094 3126 3141 4689 6282 6961 9378 13922 20883 41766 62649 125298 181829 363658 545487 1090974 1636461 2429389 3272922 3626681 4858778 7253362 7288167 10880043 14576334 21760086 21864501 32640129 43729002 65280258 1265711669 2531423338 3797135007 7594270014 11391405021 22782810042