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23201002000 = 2453116731567
BaseRepresentation
bin10101100110111000…
…110011001000010000
32012212220210000111101
4111212320303020100
5340003424031000
614354113554144
71450641156151
oct254670631020
965786700441
1023201002000
1199263a7220
1245b5b75954
132259907567
1411a1491928
1590bcb5e6a
hex566e33210

23201002000 has 160 divisors (see below), whose sum is σ = 61330074624. Its totient is φ = 8418816000.

The previous prime is 23201001997. The next prime is 23201002001. The reversal of 23201002000 is 20010232.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (23201002001) 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, 14805217 + ... + 14806783.

Almost surely, 223201002000 is an apocalyptic number.

23201002000 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 23201002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30665037312).

23201002000 is an abundant number, since it is smaller than the sum of its proper divisors (38129072624).

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

23201002000 is a wasteful number, since it uses less digits than its factorization.

23201002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 23201002000 its reverse (20010232), we get a palindrome (23221012232).

The spelling of 23201002000 in words is "twenty-three billion, two hundred one million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 673 880 1000 1100 1346 1375 1567 2000 2200 2692 2750 3134 3365 4400 5384 5500 6268 6730 7403 7835 10768 11000 12536 13460 14806 15670 16825 17237 22000 25072 26920 29612 31340 33650 34474 37015 39175 53840 59224 62680 67300 68948 74030 78350 84125 86185 118448 125360 134600 137896 148060 156700 168250 172370 185075 195875 269200 275792 296120 313400 336500 344740 370150 391750 430925 592240 626800 673000 689480 740300 783500 861850 925375 1054591 1346000 1378960 1480600 1567000 1723700 1850750 2109182 2154625 2961200 3134000 3447400 3701500 4218364 4309250 5272955 6894800 7403000 8436728 8618500 10545910 11600501 14806000 16873456 17237000 21091820 23201002 26364775 34474000 42183640 46402004 52729550 58002505 84367280 92804008 105459100 116005010 131823875 185608016 210918200 232010020 263647750 290012525 421836400 464020040 527295500 580025050 928040080 1054591000 1160050100 1450062625 2109182000 2320100200 2900125250 4640200400 5800250500 11600501000 23201002000