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20445021200 = 2452199419613
BaseRepresentation
bin10011000010100111…
…100100010000010000
31221202211220200120102
4103002213210100100
5313332411134300
613220423431532
71322434545542
oct230247442020
957684820512
1020445021200
11874175503a
123b66bb55a8
131c0a9503a6
14dbd449692
157e9d740d5
hex4c29e4410

20445021200 has 120 divisors (see below), whose sum is σ = 49564536000. Its totient is φ = 8104250880.

The previous prime is 20445021161. The next prime is 20445021221. The reversal of 20445021200 is 212054402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33352094 + ... + 33352706.

It is an arithmetic number, because the mean of its divisors is an integer number (413037800).

Almost surely, 220445021200 is an apocalyptic number.

20445021200 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 20445021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24782268000).

20445021200 is an abundant number, since it is smaller than the sum of its proper divisors (29119514800).

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

20445021200 is a wasteful number, since it uses less digits than its factorization.

20445021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 20445021200 its reverse (212054402), we get a palindrome (20657075602).

The spelling of 20445021200 in words is "twenty billion, four hundred forty-five million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 199 200 398 400 419 613 796 838 995 1226 1592 1676 1990 2095 2452 3065 3184 3352 3980 4190 4904 4975 6130 6704 7960 8380 9808 9950 10475 12260 15325 15920 16760 19900 20950 24520 30650 33520 39800 41900 49040 61300 79600 83381 83800 121987 122600 166762 167600 243974 245200 256847 333524 416905 487948 513694 609935 667048 833810 975896 1027388 1219870 1284235 1334096 1667620 1951792 2054776 2084525 2439740 2568470 3049675 3335240 4109552 4169050 4879480 5136940 6099350 6421175 6670480 8338100 9758960 10273880 12198700 12842350 16676200 20547760 24397400 25684700 33352400 48794800 51112553 51369400 102225106 102738800 204450212 255562765 408900424 511125530 817800848 1022251060 1277813825 2044502120 2555627650 4089004240 5111255300 10222510600 20445021200