21929400 has 192 divisors, whose sum is σ = 78566400. Its totient is φ = 5616000.

The previous prime is 21929393. The next prime is 21929437. The reversal of 21929400 is 492912.

21929400 = T₁₃₁₂ + T₁₃₁₃ + ... + T₁₃₃₆.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167335 + ... + 167465.

It is an arithmetic number, because the mean of its divisors is an integer number (409200).

Almost surely, 2^21929400 is an apocalyptic number.

21929400 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 21929400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39283200).

21929400 is an abundant number, since it is smaller than the sum of its proper divisors (56637000).

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

21929400 is a wasteful number, since it uses less digits than its factorization.

21929400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 21929400 is about 4682.8837269358. The cubic root of 21929400 is about 279.9038785708.

The spelling of 21929400 in words is "twenty-one million, nine hundred twenty-nine thousand, four hundred".