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22022202320 = 2451943347971
BaseRepresentation
bin10100100000101000…
…000010001111010000
32002211202122210022222
4110200220002033100
5330100140433240
614041124120212
71406505426326
oct244050021720
962752583288
1022022202320
119380a60608
124327236068
1320cc626961
1410ccabdd16
1588d566eb5
hex520a023d0

22022202320 has 160 divisors (see below), whose sum is σ = 55365742080. Its totient is φ = 8119319040.

The previous prime is 22022202317. The next prime is 22022202331. The reversal of 22022202320 is 2320222022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22679435 + ... + 22680405.

It is an arithmetic number, because the mean of its divisors is an integer number (346035888).

Almost surely, 222022202320 is an apocalyptic number.

22022202320 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 22022202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27682871040).

22022202320 is an abundant number, since it is smaller than the sum of its proper divisors (33343539760).

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

22022202320 is a wasteful number, since it uses less digits than its factorization.

22022202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 22022202320 its reverse (2320222022), we get a palindrome (24342424342).

The spelling of 22022202320 in words is "twenty-two billion, twenty-two million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 43 76 80 86 95 152 172 190 215 304 344 347 380 430 688 694 760 817 860 971 1388 1520 1634 1720 1735 1942 2776 3268 3440 3470 3884 4085 4855 5552 6536 6593 6940 7768 8170 9710 13072 13186 13880 14921 15536 16340 18449 19420 26372 27760 29842 32680 32965 36898 38840 41753 52744 59684 65360 65930 73796 74605 77680 83506 92245 105488 119368 131860 147592 149210 167012 184490 208765 238736 263720 283499 295184 298420 334024 336937 368980 417530 527440 566998 596840 668048 673874 737960 793307 835060 1133996 1193680 1347748 1417495 1475920 1586614 1670120 1684685 2267992 2695496 2834990 3173228 3340240 3369370 3966535 4535984 5390992 5669980 6346456 6401803 6738740 7933070 11339960 12692912 12803606 13477480 14488291 15866140 22679920 25607212 26954960 28976582 31732280 32009015 51214424 57953164 63464560 64018030 72441455 102428848 115906328 128036060 144882910 231812656 256072120 275277529 289765820 512144240 550555058 579531640 1101110116 1159063280 1376387645 2202220232 2752775290 4404440464 5505550580 11011101160 22022202320