Search a number
-
+
22402051950 = 23522910349999
BaseRepresentation
bin10100110111010001…
…000010111101101110
32010211020102011001210
4110313101002331232
5331334411130300
614142533415250
71422100204545
oct246721027556
963736364053
1022402051950
119556413223
12441249a526
132160231555
14112731b15c
158b1a9a050
hex537442f6e

22402051950 has 96 divisors (see below), whose sum is σ = 58032000000. Its totient is φ = 5711771520.

The previous prime is 22402051949. The next prime is 22402051967. The reversal of 22402051950 is 5915020422.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423051 + ... + 473049.

It is an arithmetic number, because the mean of its divisors is an integer number (604500000).

Almost surely, 222402051950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22402051950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29016000000).

22402051950 is an abundant number, since it is smaller than the sum of its proper divisors (35629948050).

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

22402051950 is a wasteful number, since it uses less digits than its factorization.

22402051950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50146 (or 50141 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 22402051950 in words is "twenty-two billion, four hundred two million, fifty-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 103 145 150 174 206 290 309 435 515 618 725 870 1030 1450 1545 2175 2575 2987 3090 4350 5150 5974 7725 8961 14935 15450 17922 29870 44805 49999 74675 89610 99998 149350 149997 224025 249995 299994 448050 499990 749985 1249975 1449971 1499970 2499950 2899942 3749925 4349913 5149897 7249855 7499850 8699826 10299794 14499710 15449691 21749565 25749485 30899382 36249275 43499130 51498970 72498550 77248455 108747825 128747425 149347013 154496910 217495650 257494850 298694026 386242275 448041039 746735065 772484550 896082078 1493470130 2240205195 3733675325 4480410390 7467350650 11201025975 22402051950