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23422003440 = 24351137239783
BaseRepresentation
bin10101110100000011…
…110110100011110000
32020110022122001110220
4111310003312203300
5340432013102230
614432050453040
71456263513213
oct256403664360
966408561426
1023422003440
119a2a123940
124657b94180
132293635a44
1411c297d77a
159213bcd10
hex5740f68f0

23422003440 has 160 divisors (see below), whose sum is σ = 81350078976. Its totient is φ = 5524577280.

The previous prime is 23422003433. The next prime is 23422003463. The reversal of 23422003440 is 4430022432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23422003440.

It is a congruent number.

It is an unprimeable number.

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, 22212 + ... + 217571.

Almost surely, 223422003440 is an apocalyptic number.

23422003440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23422003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40675039488).

23422003440 is an abundant number, since it is smaller than the sum of its proper divisors (57928075536).

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

23422003440 is a wasteful number, since it uses less digits than its factorization.

23422003440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239847 (or 239841 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 23422003440 its reverse (4430022432), we get a palindrome (27852025872).

The spelling of 23422003440 in words is "twenty-three billion, four hundred twenty-two million, three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 37 40 44 48 55 60 66 74 80 88 110 111 120 132 148 165 176 185 220 222 240 264 296 330 370 407 440 444 528 555 592 660 740 814 880 888 1110 1221 1320 1480 1628 1776 2035 2220 2442 2640 2960 3256 4070 4440 4884 6105 6512 8140 8880 9768 12210 16280 19536 24420 32560 48840 97680 239783 479566 719349 959132 1198915 1438698 1918264 2397830 2637613 2877396 3596745 3836528 4795660 5275226 5754792 7193490 7912839 8871971 9591320 10550452 11509584 13188065 14386980 15825678 17743942 19182640 21100904 26376130 26615913 28773960 31651356 35487884 39564195 42201808 44359855 52752260 53231826 57547920 63302712 70975768 79128390 88719710 97591681 105504520 106463652 126605424 133079565 141951536 158256780 177439420 195183362 211009040 212927304 266159130 292775043 316513560 354878840 390366724 425854608 487958405 532318260 585550086 633027120 709757680 780733448 975916810 1064636520 1171100172 1463875215 1561466896 1951833620 2129273040 2342200344 2927750430 3903667240 4684400688 5855500860 7807334480 11711001720 23422003440