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202404431000 = 23531714979907
BaseRepresentation
bin1011110010000000111…
…1101000010010011000
3201100102220122102202102
42330200033220102120
511304011013243000
6232552221222532
720423525163632
oct2744017502230
9640386572672
10202404431000
117892602a862
1233288a01a48
13161184c9905
149b21575a52
1553e95c33d5
hex2f203e8498

202404431000 has 128 divisors (see below), whose sum is σ = 504858744000. Its totient is φ = 75686963200.

The previous prime is 202404430993. The next prime is 202404431003. The reversal of 202404431000 is 134404202.

It is a super-2 number, since 2×2024044310002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202404431003) 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, 2493047 + ... + 2572953.

Almost surely, 2202404431000 is an apocalyptic number.

202404431000 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 202404431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252429372000).

202404431000 is an abundant number, since it is smaller than the sum of its proper divisors (302454313000).

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

202404431000 is a wasteful number, since it uses less digits than its factorization.

202404431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80094 (or 80080 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 202404431000 its reverse (134404202), we get a palindrome (202538835202).

The spelling of 202404431000 in words is "two hundred two billion, four hundred four million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 149 170 200 250 298 340 425 500 596 680 745 850 1000 1192 1490 1700 2125 2533 2980 3400 3725 4250 5066 5960 7450 8500 10132 12665 14900 17000 18625 20264 25330 29800 37250 50660 63325 74500 79907 101320 126650 149000 159814 253300 316625 319628 399535 506600 633250 639256 799070 1266500 1358419 1598140 1997675 2533000 2716838 3196280 3995350 5433676 6792095 7990700 9988375 10867352 11906143 13584190 15981400 19976750 23812286 27168380 33960475 39953500 47624572 54336760 59530715 67920950 79907000 95249144 119061430 135841900 169802375 202404431 238122860 271683800 297653575 339604750 404808862 476245720 595307150 679209500 809617724 1012022155 1190614300 1358419000 1488267875 1619235448 2024044310 2381228600 2976535750 4048088620 5060110775 5953071500 8096177240 10120221550 11906143000 20240443100 25300553875 40480886200 50601107750 101202215500 202404431000