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23314480 = 2457173179
BaseRepresentation
bin101100011110…
…0000000110000
31121212111110021
41120330000300
521432030410
62151413224
7402112150
oct130740060
947774407
1023314480
1112184572
127984214
134aa3c67
14314c760
1520a7eda
hex163c030

23314480 has 160 divisors (see below), whose sum is σ = 68567040. Its totient is φ = 7188480.

The previous prime is 23314469. The next prime is 23314481. The reversal of 23314480 is 8441332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23314481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295081 + ... + 295159.

It is an arithmetic number, because the mean of its divisors is an integer number (428544).

Almost surely, 223314480 is an apocalyptic number.

23314480 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 23314480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34283520).

23314480 is an abundant number, since it is smaller than the sum of its proper divisors (45252560).

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

23314480 is a wasteful number, since it uses less digits than its factorization.

23314480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 23314480 is about 4828.5070156312. The cubic root of 23314480 is about 285.6769789385.

The spelling of 23314480 in words is "twenty-three million, three hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 31 34 35 40 56 62 68 70 79 80 85 112 119 124 136 140 155 158 170 217 238 248 272 280 310 316 340 395 434 476 496 527 553 560 595 620 632 680 790 868 952 1054 1085 1106 1190 1240 1264 1343 1360 1580 1736 1904 2108 2170 2212 2380 2449 2480 2635 2686 2765 3160 3472 3689 4216 4340 4424 4760 4898 5270 5372 5530 6320 6715 7378 8432 8680 8848 9401 9520 9796 10540 10744 11060 12245 13430 14756 17143 17360 18445 18802 19592 21080 21488 22120 24490 26860 29512 34286 36890 37604 39184 41633 42160 44240 47005 48980 53720 59024 68572 73780 75208 83266 85715 94010 97960 107440 137144 147560 150416 166532 171430 188020 195920 208165 274288 291431 295120 333064 342860 376040 416330 582862 666128 685720 752080 832660 1165724 1371440 1457155 1665320 2331448 2914310 3330640 4662896 5828620 11657240 23314480