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21430297980 = 223457213191093
BaseRepresentation
bin10011111101010110…
…000110010101111100
32001022111212221020000
4103331112012111330
5322342124013410
613502301354300
71356030345600
oct237526062574
961274787200
1021430297980
1190a7932073
1241a0b68990
132036b03bc0
141074243500
158565e7dc0
hex4fd58657c

21430297980 has 720 divisors, whose sum is σ = 88732939680. Its totient is φ = 4279661568.

The previous prime is 21430297949. The next prime is 21430297981. The reversal of 21430297980 is 8979203412.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21430297981) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19606314 + ... + 19607406.

It is an arithmetic number, because the mean of its divisors is an integer number (123240194).

Almost surely, 221430297980 is an apocalyptic number.

21430297980 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 21430297980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44366469840).

21430297980 is an abundant number, since it is smaller than the sum of its proper divisors (67302641700).

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

21430297980 is a wasteful number, since it uses less digits than its factorization.

21430297980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 21430297980 in words is "twenty-one billion, four hundred thirty million, two hundred ninety-seven thousand, nine hundred eighty".