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20233553340 = 22357211131719149
BaseRepresentation
bin10010110110000000…
…111000010110111100
31221020010000000012110
4102312000320112330
5312414242201330
613143431134020
71314256236300
oct226600702674
957203000173
1020233553340
11864334a110
123b08214310
131ba5bac390
14d9d31dd00
157d6501db0
hex4b60385bc

20233553340 has 1152 divisors, whose sum is σ = 86873472000. Its totient is φ = 3437199360.

The previous prime is 20233553317. The next prime is 20233553371. The reversal of 20233553340 is 4335533202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20233553298 and 20233553307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 135795586 + ... + 135795734.

It is an arithmetic number, because the mean of its divisors is an integer number (75411000).

Almost surely, 220233553340 is an apocalyptic number.

20233553340 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 20233553340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43436736000).

20233553340 is an abundant number, since it is smaller than the sum of its proper divisors (66639918660).

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

20233553340 is a wasteful number, since it uses less digits than its factorization.

20233553340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 30.

The spelling of 20233553340 in words is "twenty billion, two hundred thirty-three million, five hundred fifty-three thousand, three hundred forty".