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1985223900 = 22352113771229
BaseRepresentation
bin111011001010100…
…0001110011011100
312010100112211020010
41312111001303130
513031204131100
6524554123220
7100124060532
oct16625016334
95110484203
101985223900
11929675110
12474a20510
132583a28ca
1414b930152
15b9444750
hex76541cdc

1985223900 has 288 divisors, whose sum is σ = 6554580480. Its totient is φ = 459648000.

The previous prime is 1985223887. The next prime is 1985223901. The reversal of 1985223900 is 93225891.

It is a super-2 number, since 2×19852239002 = 7882227866262420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1985223901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8668986 + ... + 8669214.

It is an arithmetic number, because the mean of its divisors is an integer number (22758960).

Almost surely, 21985223900 is an apocalyptic number.

1985223900 is a gapful number since it is divisible by the number (10) 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 1985223900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277290240).

1985223900 is an abundant number, since it is smaller than the sum of its proper divisors (4569356580).

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

1985223900 is a wasteful number, since it uses less digits than its factorization.

1985223900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1985223900 is about 44555.8514675682. The cubic root of 1985223900 is about 1256.8105906249.

The spelling of 1985223900 in words is "one billion, nine hundred eighty-five million, two hundred twenty-three thousand, nine hundred".