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21974100720 = 243511131737663
BaseRepresentation
bin10100011101110000…
…100010101011110000
32002201102010222100020
4110131300202223300
5330000332210340
614032245123440
71405352526405
oct243560425360
962642128306
1021974100720
119356897120
1243130b9580
1320c2684680
1410c655c2ac
158892149d0
hex51dc22af0

21974100720 has 320 divisors, whose sum is σ = 84738576384. Its totient is φ = 4627906560.

The previous prime is 21974100691. The next prime is 21974100721. The reversal of 21974100720 is 2700147912.

It is a super-2 number, since 2×219741007202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21974100721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 564609 + ... + 602271.

Almost surely, 221974100720 is an apocalyptic number.

21974100720 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 21974100720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42369288192).

21974100720 is an abundant number, since it is smaller than the sum of its proper divisors (62764475664).

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

21974100720 is a wasteful number, since it uses less digits than its factorization.

21974100720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37720 (or 37714 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The spelling of 21974100720 in words is "twenty-one billion, nine hundred seventy-four million, one hundred thousand, seven hundred twenty".