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220230433300 = 225247127368957
BaseRepresentation
bin1100110100011011000…
…0011011101000010100
3210001110020102011210211
43031012300123220110
512102012442331200
6245101130255204
721624341540053
oct3150660335024
9701406364724
10220230433300
118544337a169
1236822887504
13179c9678377
14a932c2c39a
155ade55baba
hex3346c1ba14

220230433300 has 72 divisors (see below), whose sum is σ = 491912515584. Its totient is φ = 85538759040.

The previous prime is 220230433277. The next prime is 220230433333. The reversal of 220230433300 is 3334032022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412422 + ... + 781378.

It is an arithmetic number, because the mean of its divisors is an integer number (6832118272).

Almost surely, 2220230433300 is an apocalyptic number.

220230433300 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 220230433300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245956257792).

220230433300 is an abundant number, since it is smaller than the sum of its proper divisors (271682082284).

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

220230433300 is a wasteful number, since it uses less digits than its factorization.

220230433300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369145 (or 369138 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

Adding to 220230433300 its reverse (3334032022), we get a palindrome (223564465322).

The spelling of 220230433300 in words is "two hundred twenty billion, two hundred thirty million, four hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 127 188 235 254 470 508 635 940 1175 1270 2350 2540 3175 4700 5969 6350 11938 12700 23876 29845 59690 119380 149225 298450 368957 596900 737914 1475828 1844785 3689570 7379140 9223925 17340979 18447850 34681958 36895700 46857539 69363916 86704895 93715078 173409790 187430156 234287695 346819580 433524475 468575390 867048950 937150780 1171438475 1734097900 2202304333 2342876950 4404608666 4685753900 8809217332 11011521665 22023043330 44046086660 55057608325 110115216650 220230433300