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20234946900 = 22352722397617
BaseRepresentation
bin10010110110000110…
…001100100101010100
31221020012121210210210
4102312012030211110
5312420121300100
613143521045420
71314304132200
oct226606144524
957205553723
1020234946900
118644111113
123b08786870
131ba627977c
14d9d5a3b00
157d66c9c50
hex4b618c954

20234946900 has 432 divisors, whose sum is σ = 71915147136. Its totient is φ = 4371333120.

The previous prime is 20234946829. The next prime is 20234946917. The reversal of 20234946900 is 964943202.

It is a super-2 number, since 2×202349469002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32795392 + ... + 32796008.

It is an arithmetic number, because the mean of its divisors is an integer number (166470248).

Almost surely, 220234946900 is an apocalyptic number.

20234946900 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 20234946900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35957573568).

20234946900 is an abundant number, since it is smaller than the sum of its proper divisors (51680200236).

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

20234946900 is a wasteful number, since it uses less digits than its factorization.

20234946900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 20234946900 in words is "twenty billion, two hundred thirty-four million, nine hundred forty-six thousand, nine hundred".