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3220933220820 = 22325743471264867
BaseRepresentation
bin101110110111101110100…
…101001001100111010100
3102101220210101002202111100
4232313232211021213110
5410232432401031240
610503402025110100
7451463504435310
oct56675645114724
912356711082440
103220933220820
111031a98919577
124402a4028330
131a496a982373
14b1c731c6b40
1558bb5823e30
hex2edee9499d4

3220933220820 has 288 divisors, whose sum is σ = 11668680511488. Its totient is φ = 703791680256.

The previous prime is 3220933220803. The next prime is 3220933220831. The reversal of 3220933220820 is 280223390223.

It is a happy number.

3220933220820 is a `hidden beast` number, since 3 + 220 + 9 + 332 + 20 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1914027 + ... + 3178893.

It is an arithmetic number, because the mean of its divisors is an integer number (40516251776).

Almost surely, 23220933220820 is an apocalyptic number.

3220933220820 is a gapful number since it is divisible by the number (30) 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 3220933220820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5834340255744).

3220933220820 is an abundant number, since it is smaller than the sum of its proper divisors (8447747290668).

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

3220933220820 is a wasteful number, since it uses less digits than its factorization.

3220933220820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264979 (or 1264974 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 3220933220820 in words is "three trillion, two hundred twenty billion, nine hundred thirty-three million, two hundred twenty thousand, eight hundred twenty".