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19970332200 = 233252721317417
BaseRepresentation
bin10010100110010100…
…110001011000101000
31220112202200222200100
4102212110301120220
5311344401112300
613101345305400
71304612010600
oct224624613050
956482628610
1019970332200
118518806185
123a54035260
131b634bac20
14d763a1c00
157bd35a700
hex4a6531628

19970332200 has 432 divisors, whose sum is σ = 84022864380. Its totient is φ = 4213278720.

The previous prime is 19970332189. The next prime is 19970332211. The reversal of 19970332200 is 223307991.

It is an interprime number because it is at equal distance from previous prime (19970332189) and next prime (19970332211).

It can be written as a sum of positive squares in 6 ways, for example, as 8670216996 + 11300115204 = 93114^2 + 106302^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1137892 + ... + 1155308.

Almost surely, 219970332200 is an apocalyptic number.

19970332200 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 19970332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42011432190).

19970332200 is an abundant number, since it is smaller than the sum of its proper divisors (64052532180).

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

19970332200 is a wasteful number, since it uses less digits than its factorization.

19970332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17466 (or 17447 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 19970332200 in words is "nineteen billion, nine hundred seventy million, three hundred thirty-two thousand, two hundred".