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23029900 = 225217192331
BaseRepresentation
bin101011111011…
…0100010001100
31121100001002021
41113312202030
521343424100
62141335524
7366515365
oct127664214
947301067
1023029900
1111aaa783
1278675a4
134a0457a
1430b6b6c
15204da1a
hex15f688c

23029900 has 144 divisors (see below), whose sum is σ = 59996160. Its totient is φ = 7603200.

The previous prime is 23029889. The next prime is 23029913. The reversal of 23029900 is 992032.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742885 + ... + 742915.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 223029900 is an apocalyptic number.

23029900 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 23029900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998080).

23029900 is an abundant number, since it is smaller than the sum of its proper divisors (36966260).

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

23029900 is a wasteful number, since it uses less digits than its factorization.

23029900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 23029900 is about 4798.9478013415. The cubic root of 23029900 is about 284.5098788580.

The spelling of 23029900 in words is "twenty-three million, twenty-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 17 19 20 23 25 31 34 38 46 50 62 68 76 85 92 95 100 115 124 155 170 190 230 310 323 340 380 391 425 437 460 475 527 575 589 620 646 713 775 782 850 874 950 1054 1150 1178 1292 1426 1550 1564 1615 1700 1748 1900 1955 2108 2185 2300 2356 2635 2852 2945 3100 3230 3565 3910 4370 5270 5890 6460 7130 7429 7820 8075 8740 9775 10013 10540 10925 11780 12121 13175 13547 14260 14725 14858 16150 17825 19550 20026 21850 24242 26350 27094 29450 29716 32300 35650 37145 39100 40052 43700 48484 50065 52700 54188 58900 60605 67735 71300 74290 100130 121210 135470 148580 185725 200260 230299 242420 250325 270940 303025 338675 371450 460598 500650 606050 677350 742900 921196 1001300 1151495 1212100 1354700 2302990 4605980 5757475 11514950 23029900