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20146226100 = 223527111373919
BaseRepresentation
bin10010110000110011…
…110000001110110100
31221000000200022202020
4102300303300032310
5312224413213400
613131031313140
71312146045030
oct226063601664
957000608666
1020146226100
1185a9023940
123aa2b1b7b0
131b90a84b60
14d918ab1c0
157cda022a0
hex4b0cf03b4

20146226100 has 576 divisors, whose sum is σ = 79421583360. Its totient is φ = 3807129600.

The previous prime is 20146226039. The next prime is 20146226119. The reversal of 20146226100 is 162264102.

It is a congruent number.

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, 21921441 + ... + 21922359.

Almost surely, 220146226100 is an apocalyptic number.

20146226100 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 20146226100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39710791680).

20146226100 is an abundant number, since it is smaller than the sum of its proper divisors (59275357260).

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

20146226100 is a wasteful number, since it uses less digits than its factorization.

20146226100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 20146226100 in words is "twenty billion, one hundred forty-six million, two hundred twenty-six thousand, one hundred".