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21949400 = 2352112907
BaseRepresentation
bin101001110111…
…0101111011000
31112022010220202
41103232233120
521104340100
62102241332
7354365264
oct123565730
945263822
1021949400
1111431a00
127426248
134716815
142cb50a4
151dd87d5
hex14eebd8

21949400 has 72 divisors (see below), whose sum is σ = 56155260. Its totient is φ = 7972800.

The previous prime is 21949387. The next prime is 21949409. The reversal of 21949400 is 494912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21949409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23747 + ... + 24653.

Almost surely, 221949400 is an apocalyptic number.

21949400 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 21949400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28077630).

21949400 is an abundant number, since it is smaller than the sum of its proper divisors (34205860).

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

21949400 is a wasteful number, since it uses less digits than its factorization.

21949400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 21949400 is about 4685.0186765903. The cubic root of 21949400 is about 279.9889451418.

The spelling of 21949400 in words is "twenty-one million, nine hundred forty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 907 968 1100 1210 1814 2200 2420 3025 3628 4535 4840 6050 7256 9070 9977 12100 18140 19954 22675 24200 36280 39908 45350 49885 79816 90700 99770 109747 181400 199540 219494 249425 399080 438988 498850 548735 877976 997700 1097470 1995400 2194940 2743675 4389880 5487350 10974700 21949400