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21229120 = 2651137163
BaseRepresentation
bin101000011111…
…0111001000000
31110221112212201
41100332321000
520413312440
62035002544
7345305323
oct120767100
943845781
1021229120
1110a8a830
127139454
134523a13
142b687ba
151ce519a
hex143ee40

21229120 has 112 divisors (see below), whose sum is σ = 56985408. Its totient is φ = 7464960.

The previous prime is 21229111. The next prime is 21229139. The reversal of 21229120 is 2192212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130159 + ... + 130321.

Almost surely, 221229120 is an apocalyptic number.

21229120 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 21229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28492704).

21229120 is an abundant number, since it is smaller than the sum of its proper divisors (35756288).

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

21229120 is a wasteful number, since it uses less digits than its factorization.

21229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 21229120 is about 4607.5069180632. The cubic root of 21229120 is about 276.8921630575.

The spelling of 21229120 in words is "twenty-one million, two hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 64 74 80 88 110 148 160 163 176 185 220 296 320 326 352 370 407 440 592 652 704 740 814 815 880 1184 1304 1480 1628 1630 1760 1793 2035 2368 2608 2960 3256 3260 3520 3586 4070 5216 5920 6031 6512 6520 7172 8140 8965 10432 11840 12062 13024 13040 14344 16280 17930 24124 26048 26080 28688 30155 32560 35860 48248 52160 57376 60310 65120 66341 71720 96496 114752 120620 130240 132682 143440 192992 241240 265364 286880 331705 385984 482480 530728 573760 663410 964960 1061456 1326820 1929920 2122912 2653640 4245824 5307280 10614560 21229120