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22299920 = 2451719863
BaseRepresentation
bin101010100010…
…0010100010000
31112221221201222
41111010110100
521202044140
62113544212
7360355226
oct125042420
945857658
1022299920
1111651295
127575068
13480a226
142d66b16
151e575b5
hex1544510

22299920 has 80 divisors (see below), whose sum is σ = 57853440. Its totient is φ = 7944192.

The previous prime is 22299919. The next prime is 22299923. The reversal of 22299920 is 2999222.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (22299923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25409 + ... + 26271.

It is an arithmetic number, because the mean of its divisors is an integer number (723168).

Almost surely, 222299920 is an apocalyptic number.

22299920 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 22299920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28926720).

22299920 is an abundant number, since it is smaller than the sum of its proper divisors (35553520).

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

22299920 is a wasteful number, since it uses less digits than its factorization.

22299920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 22299920 is about 4722.2791107684. The cubic root of 22299920 is about 281.4715048446.

It can be divided in two parts, 2 and 2299920, that added together give a palindrome (2299922).

The spelling of 22299920 in words is "twenty-two million, two hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 272 304 323 340 380 646 680 760 863 1292 1360 1520 1615 1726 2584 3230 3452 4315 5168 6460 6904 8630 12920 13808 14671 16397 17260 25840 29342 32794 34520 58684 65588 69040 73355 81985 117368 131176 146710 163970 234736 262352 278749 293420 327940 557498 586840 655880 1114996 1173680 1311760 1393745 2229992 2787490 4459984 5574980 11149960 22299920