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22202098380 = 2235571179751
BaseRepresentation
bin10100101011010110…
…010010001011001100
32010022022011110100000
4110223112102023030
5330432214122010
614111032004300
71414121502540
oct245326221314
963268143300
1022202098380
119463562140
124377530690
13212a992427
14110894ba20
1589e24e7c0
hex52b5922cc

22202098380 has 576 divisors, whose sum is σ = 88293703680. Its totient is φ = 4548960000.

The previous prime is 22202098349. The next prime is 22202098397. The reversal of 22202098380 is 8389020222.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29563005 + ... + 29563755.

It is an arithmetic number, because the mean of its divisors is an integer number (153287680).

Almost surely, 222202098380 is an apocalyptic number.

22202098380 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 22202098380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44146851840).

22202098380 is an abundant number, since it is smaller than the sum of its proper divisors (66091605300).

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

22202098380 is a wasteful number, since it uses less digits than its factorization.

22202098380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

It can be divided in two parts, 222020 and 98380, that added together give a triangular number (320400 = T800).

The spelling of 22202098380 in words is "twenty-two billion, two hundred two million, ninety-eight thousand, three hundred eighty".