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21996500 = 2253293741
BaseRepresentation
bin101001111101…
…0001111010100
31112101112112012
41103322033110
521112342000
62103243352
7354652511
oct123721724
945345465
1021996500
1111464329
127449558
1347320a6
142cc8308
151de7735
hex14fa3d4

21996500 has 96 divisors (see below), whose sum is σ = 52284960. Its totient is φ = 8064000.

The previous prime is 21996493. The next prime is 21996503. The reversal of 21996500 is 569912.

It can be written as a sum of positive squares in 16 ways, for example, as 16370116 + 5626384 = 4046^2 + 2372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21996503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536480 + ... + 536520.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 221996500 is an apocalyptic number.

21996500 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 21996500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26142480).

21996500 is an abundant number, since it is smaller than the sum of its proper divisors (30288460).

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

21996500 is a wasteful number, since it uses less digits than its factorization.

21996500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 21996500 is about 4690.0426437294. The cubic root of 21996500 is about 280.1890729780.

The spelling of 21996500 in words is "twenty-one million, nine hundred ninety-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 37 41 50 58 74 82 100 116 125 145 148 164 185 205 250 290 370 410 500 580 725 740 820 925 1025 1073 1189 1450 1517 1850 2050 2146 2378 2900 3034 3625 3700 4100 4292 4625 4756 5125 5365 5945 6068 7250 7585 9250 10250 10730 11890 14500 15170 18500 20500 21460 23780 26825 29725 30340 37925 43993 53650 59450 75850 87986 107300 118900 134125 148625 151700 175972 189625 219965 268250 297250 379250 439930 536500 594500 758500 879860 1099825 2199650 4399300 5499125 10998250 21996500