Search a number
-
+
22397403336 = 2337311247343
BaseRepresentation
bin10100110110111111…
…010100000011001000
32010210220122222100220
4110312333110003020
5331332213401321
614142250030040
71422012534000
oct246677240310
963726588326
1022397403336
1195538286a0
124410a18320
13215c2946a9
14112686b000
158b147c9c6
hex536fd40c8

22397403336 has 128 divisors (see below), whose sum is σ = 71235072000. Its totient is φ = 5817483840.

The previous prime is 22397403331. The next prime is 22397403361. The reversal of 22397403336 is 63330479322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (22397403331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33120 + ... + 214223.

It is an arithmetic number, because the mean of its divisors is an integer number (556524000).

Almost surely, 222397403336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22397403336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35617536000).

22397403336 is an abundant number, since it is smaller than the sum of its proper divisors (48837668664).

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

22397403336 is a wasteful number, since it uses less digits than its factorization.

22397403336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247384 (or 247366 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 42.

The spelling of 22397403336 in words is "twenty-two billion, three hundred ninety-seven million, four hundred three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 343 392 462 539 588 616 686 924 1029 1078 1176 1372 1617 1848 2058 2156 2744 3234 3773 4116 4312 6468 7546 8232 11319 12936 15092 22638 30184 45276 90552 247343 494686 742029 989372 1484058 1731401 1978744 2720773 2968116 3462802 5194203 5441546 5936232 6925604 8162319 10388406 10883092 12119807 13851208 16324638 19045411 20776812 21766184 24239614 32649276 36359421 38090822 41553624 48479228 57136233 65298552 72718842 76181644 84838649 96958456 114272466 133317877 145437684 152363288 169677298 228544932 254515947 266635754 290875368 339354596 399953631 457089864 509031894 533271508 678709192 799907262 933225139 1018063788 1066543016 1599814524 1866450278 2036127576 2799675417 3199629048 3732900556 5599350834 7465801112 11198701668 22397403336