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22213300020 = 22353713017691
BaseRepresentation
bin10100101100000001…
…000000111100110100
32010100002020120002120
4110230001000330310
5330443101100040
614112112035540
71414315635432
oct245401007464
963302216076
1022213300020
11946991309a
12437b232bb0
1321300b4c12
14110a225d52
158a02137d0
hex52c040f34

22213300020 has 96 divisors (see below), whose sum is σ = 63935657856. Its totient is φ = 5758272000.

The previous prime is 22213299989. The next prime is 22213300061. The reversal of 22213300020 is 2000331222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2884375 + ... + 2892065.

It is an arithmetic number, because the mean of its divisors is an integer number (665996436).

Almost surely, 222213300020 is an apocalyptic number.

22213300020 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 22213300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31967828928).

22213300020 is an abundant number, since it is smaller than the sum of its proper divisors (41722357836).

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

22213300020 is a wasteful number, since it uses less digits than its factorization.

22213300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9041 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 22213300020 its reverse (2000331222), we get a palindrome (24213631242).

The spelling of 22213300020 in words is "twenty-two billion, two hundred thirteen million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1301 2220 2602 3903 5204 6505 7691 7806 13010 15382 15612 19515 23073 26020 30764 38455 39030 46146 48137 76910 78060 92292 96274 115365 144411 153820 192548 230730 240685 284567 288822 461460 481370 569134 577644 722055 853701 962740 1138268 1422835 1444110 1707402 2845670 2888220 3414804 4268505 5691340 8537010 10005991 17074020 20011982 30017973 40023964 50029955 60035946 100059910 120071892 150089865 200119820 300179730 370221667 600359460 740443334 1110665001 1480886668 1851108335 2221330002 3702216670 4442660004 5553325005 7404433340 11106650010 22213300020