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20692822500 = 223254721372
BaseRepresentation
bin10011010001011000…
…110110100111100100
31222102010012022001100
4103101120312213210
5314334330310000
613301155000100
71331534042400
oct232130664744
958363168040
1020692822500
1188596168a9
124015b99030
131c4a0a308c
141004312100
158119c1a00
hex4d16369e4

20692822500 has 405 divisors, whose sum is σ = 76593145629. Its totient is φ = 4695264000.

The previous prime is 20692822481. The next prime is 20692822511. The reversal of 20692822500 is 522829602.

The square root of 20692822500 is 143850.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 14297941476 + 6394881024 = 119574^2 + 79968^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 151042432 + ... + 151042568.

Almost surely, 220692822500 is an apocalyptic number.

20692822500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20692822500 is the 143850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20692822500

20692822500 is an abundant number, since it is smaller than the sum of its proper divisors (55900323129).

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

20692822500 is a wasteful number, since it uses less digits than its factorization.

20692822500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 20692822500 by its sum of digits (36), we get a square (744941610000 = 8631002).

20692822500 divided by its sum of digits (36) gives a square (574800625 = 239752).

The spelling of 20692822500 in words is "twenty billion, six hundred ninety-two million, eight hundred twenty-two thousand, five hundred".