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22222830 = 23572343107
BaseRepresentation
bin101010011000…
…1011111101110
31112211000222210
41110301133232
521142112310
62112151250
7356614410
oct124613756
945730883
1022222830
11115a9383
127538526
1347b1106
142d469b0
151e3e820
hex15317ee

22222830 has 128 divisors (see below), whose sum is σ = 65691648. Its totient is φ = 4701312.

The previous prime is 22222819. The next prime is 22222831. The reversal of 22222830 is 3822222.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 22222797 and 22222806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207637 + ... + 207743.

It is an arithmetic number, because the mean of its divisors is an integer number (513216).

Almost surely, 222222830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22222830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32845824).

22222830 is an abundant number, since it is smaller than the sum of its proper divisors (43468818).

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

22222830 is a wasteful number, since it uses less digits than its factorization.

22222830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 22222830 is about 4714.1096720378. The cubic root of 22222830 is about 281.1467848420.

The spelling of 22222830 in words is "twenty-two million, two hundred twenty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 43 46 69 70 86 105 107 115 129 138 161 210 214 215 230 258 301 321 322 345 430 483 535 602 642 645 690 749 805 903 966 989 1070 1290 1498 1505 1605 1610 1806 1978 2247 2415 2461 2967 3010 3210 3745 4494 4515 4601 4830 4922 4945 5934 6923 7383 7490 9030 9202 9890 11235 12305 13803 13846 14766 14835 17227 20769 22470 23005 24610 27606 29670 32207 34454 34615 36915 41538 46010 51681 64414 69015 69230 73830 86135 96621 103362 103845 105823 138030 161035 172270 193242 207690 211646 258405 317469 322070 483105 516810 529115 634938 740761 966210 1058230 1481522 1587345 2222283 3174690 3703805 4444566 7407610 11111415 22222830