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200022233120 = 2554373939341
BaseRepresentation
bin1011101001001001000…
…0010001000000100000
3201010021220010020121022
42322102100101000200
511234121142424440
6231520002345012
720310510633413
oct2722220210040
9633256106538
10200022233120
1177913377286
123292305b168
1315b28b04b78
14997702bb7a
15530a3b6cb5
hex2e92411020

200022233120 has 96 divisors (see below), whose sum is σ = 484208746560. Its totient is φ = 78040488960.

The previous prime is 200022233101. The next prime is 200022233123. The reversal of 200022233120 is 21332220002.

It is not an unprimeable number, because it can be changed into a prime (200022233123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5064650 + ... + 5103990.

It is an arithmetic number, because the mean of its divisors is an integer number (5043841110).

Almost surely, 2200022233120 is an apocalyptic number.

200022233120 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 200022233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242104373280).

200022233120 is an abundant number, since it is smaller than the sum of its proper divisors (284186513440).

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

200022233120 is a wasteful number, since it uses less digits than its factorization.

200022233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40138 (or 40130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 200022233120 its reverse (21332220002), we get a palindrome (221354453122).

The spelling of 200022233120 in words is "two hundred billion, twenty-two million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 739 860 1376 1478 1720 2956 3440 3695 5912 6880 7390 11824 14780 23648 29560 31777 39341 59120 63554 78682 118240 127108 157364 158885 196705 254216 314728 317770 393410 508432 629456 635540 786820 1016864 1258912 1271080 1573640 1691663 2542160 3147280 3383326 5084320 6294560 6766652 8458315 13533304 16916630 27066608 29072999 33833260 54133216 58145998 67666520 116291996 135333040 145364995 232583992 270666080 290729990 465167984 581459980 930335968 1162919960 1250138957 2325839920 2500277914 4651679840 5000555828 6250694785 10001111656 12501389570 20002223312 25002779140 40004446624 50005558280 100011116560 200022233120