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10220022330 = 2357537571213
BaseRepresentation
bin10011000010010100…
…10010101000111010
3222101020202221000120
421201022102220322
5131412311203310
64410042314110
7511155520320
oct114112225072
928336687016
1010220022330
114374a33051
121b927b8936
13c6b4650bb
146cd477d10
153ec36eb70
hex261292a3a

10220022330 has 128 divisors (see below), whose sum is σ = 28622274048. Its totient is φ = 2287014912.

The previous prime is 10220022259. The next prime is 10220022341. The reversal of 10220022330 is 3322002201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8424804 + ... + 8426016.

It is an arithmetic number, because the mean of its divisors is an integer number (223611516).

Almost surely, 210220022330 is an apocalyptic number.

10220022330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220022330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14311137024).

10220022330 is an abundant number, since it is smaller than the sum of its proper divisors (18402251718).

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

10220022330 is a wasteful number, since it uses less digits than its factorization.

10220022330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040.

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10220022330 its reverse (3322002201), we get a palindrome (13542024531).

The spelling of 10220022330 in words is "ten billion, two hundred twenty million, twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 265 318 371 530 742 757 795 1113 1213 1514 1590 1855 2226 2271 2426 3639 3710 3785 4542 5299 5565 6065 7278 7570 8491 10598 11130 11355 12130 15897 16982 18195 22710 25473 26495 31794 36390 40121 42455 50946 52990 64289 79485 80242 84910 120363 127365 128578 158970 192867 200605 240726 254730 280847 321445 385734 401210 450023 561694 601815 642890 842541 900046 918241 964335 1203630 1350069 1404235 1685082 1836482 1928670 2250115 2700138 2754723 2808470 4212705 4500230 4591205 5509446 6427687 6750345 8425410 9182410 12855374 13500690 13773615 19283061 27547230 32138435 38566122 48666773 64276870 96415305 97333546 146000319 192830610 243333865 292000638 340667411 486667730 681334822 730001595 1022002233 1460003190 1703337055 2044004466 3406674110 5110011165 10220022330