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1223340030 = 2335112771487
BaseRepresentation
bin100100011101010…
…1010111111111110
310011020221010001000
41020322222333332
510001133340110
6321220231130
742213135003
oct11072527776
93136833030
101223340030
115785a8520
122a183b4a6
131665a6c53
14b86878aa
15725eb1c0
hex48eaaffe

1223340030 has 128 divisors (see below), whose sum is σ = 3574056960. Its totient is φ = 295297920.

The previous prime is 1223339969. The next prime is 1223340049. The reversal of 1223340030 is 300433221.

1223340030 is a `hidden beast` number, since 1 + 2 + 233 + 400 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1223339985 and 1223340012.

It is a congruent number.

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, 821947 + ... + 823433.

It is an arithmetic number, because the mean of its divisors is an integer number (27922320).

Almost surely, 21223340030 is an apocalyptic number.

1223340030 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 1223340030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787028480).

1223340030 is an abundant number, since it is smaller than the sum of its proper divisors (2350716930).

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

1223340030 is a wasteful number, since it uses less digits than its factorization.

1223340030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1223340030 is about 34976.2781038806. The cubic root of 1223340030 is about 1069.5039567569.

Adding to 1223340030 its reverse (300433221), we get a palindrome (1523773251).

The spelling of 1223340030 in words is "one billion, two hundred twenty-three million, three hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 277 297 330 495 554 594 831 990 1385 1485 1487 1662 2493 2770 2970 2974 3047 4155 4461 4986 6094 7435 7479 8310 8922 9141 12465 13383 14870 14958 15235 16357 18282 22305 24930 26766 27423 30470 32714 37395 40149 44610 45705 49071 54846 66915 74790 80298 81785 82269 91410 98142 133830 137115 147213 163570 164538 200745 245355 274230 294426 401490 411345 411899 441639 490710 736065 822690 823798 883278 1235697 1472130 2059495 2208195 2471394 3707091 4118990 4416390 4530889 6178485 7414182 9061778 11121273 12356970 13592667 18535455 22242546 22654445 27185334 37070910 40778001 45308890 55606365 67963335 81556002 111212730 122334003 135926670 203890005 244668006 407780010 611670015 1223340030