Search a number
-
+
22435061940 = 2233541546411
BaseRepresentation
bin10100111001001110…
…111110000010110100
32010220112112020021000
4110321032332002310
5331421333440230
614150113123300
71422650610564
oct247116760264
963815466230
1022435061940
11957300a105
124421559530
13216701b5a5
14112b870da4
158b491ab60
hex5393be0b4

22435061940 has 48 divisors (see below), whose sum is σ = 69797972160. Its totient is φ = 5982683040.

The previous prime is 22435061939. The next prime is 22435061951. The reversal of 22435061940 is 4916053422.

It is a happy number.

22435061940 is a `hidden beast` number, since 2 + 2 + 4 + 35 + 0 + 619 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 22435061895 and 22435061904.

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, 20772666 + ... + 20773745.

It is an arithmetic number, because the mean of its divisors is an integer number (1454124420).

Almost surely, 222435061940 is an apocalyptic number.

22435061940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22435061940 is an abundant number, since it is smaller than the sum of its proper divisors (47362910220).

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

22435061940 is a wasteful number, since it uses less digits than its factorization.

22435061940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41546429 (or 41546421 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 22435061940 in words is "twenty-two billion, four hundred thirty-five million, sixty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 41546411 83092822 124639233 166185644 207732055 249278466 373917699 415464110 498556932 623196165 747835398 830928220 1121753097 1246392330 1495670796 1869588495 2243506194 2492784660 3739176990 4487012388 5608765485 7478353980 11217530970 22435061940