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220683428700 = 2235271947117679
BaseRepresentation
bin1100110110000111000…
…0011110001101011100
3210002121210210201200020
43031201300132031130
512103424424204300
6245214111432140
721641512123260
oct3154160361534
9702553721606
10220683428700
1185656051329
123692a525650
1317a6c483597
14a97706a0a0
155b191dc8a0
hex3361c1e35c

220683428700 has 288 divisors, whose sum is σ = 784483123200. Its totient is φ = 46769944320.

The previous prime is 220683428699. The next prime is 220683428729. The reversal of 220683428700 is 7824386022.

220683428700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1816461 + ... + 1934139.

Almost surely, 2220683428700 is an apocalyptic number.

220683428700 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 220683428700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392241561600).

220683428700 is an abundant number, since it is smaller than the sum of its proper divisors (563799694500).

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

220683428700 is a wasteful number, since it uses less digits than its factorization.

220683428700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117769 (or 117762 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 220683428700 in words is "two hundred twenty billion, six hundred eighty-three million, four hundred twenty-eight thousand, seven hundred".