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21233190 = 2351137247
BaseRepresentation
bin101000011111…
…1111000100110
31110221202110110
41100333320212
520413430230
62035033450
7345323226
oct120777046
943852413
1021233190
1110a928a0
12713b886
134525824
142b6a086
151ce64b0
hex143fe26

21233190 has 96 divisors (see below), whose sum is σ = 58351104. Its totient is φ = 4901760.

The previous prime is 21233183. The next prime is 21233197. The reversal of 21233190 is 9133212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21233183) and next prime (21233197).

It is a super-2 number, since 2×212331902 = 901696715152200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21233197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451747 + ... + 451793.

It is an arithmetic number, because the mean of its divisors is an integer number (607824).

Almost surely, 221233190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21233190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29175552).

21233190 is an abundant number, since it is smaller than the sum of its proper divisors (37117914).

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

21233190 is a wasteful number, since it uses less digits than its factorization.

21233190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 21233190 is about 4607.9485674213. The cubic root of 21233190 is about 276.9098569781.

The spelling of 21233190 in words is "twenty-one million, two hundred thirty-three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 47 55 66 74 94 110 111 141 165 185 222 235 282 330 370 407 470 517 555 705 814 1034 1110 1221 1369 1410 1551 1739 2035 2442 2585 2738 3102 3478 4070 4107 5170 5217 6105 6845 7755 8214 8695 10434 12210 13690 15059 15510 17390 19129 20535 26085 30118 38258 41070 45177 52170 57387 64343 75295 90354 95645 114774 128686 150590 191290 193029 225885 286935 321715 386058 451770 573870 643430 707773 965145 1415546 1930290 2123319 3538865 4246638 7077730 10616595 21233190