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22721028 = 22311434003
BaseRepresentation
bin101011010101…
…1001000000100
31120202100101120
41112223020010
521304033103
62130553540
7364061031
oct126531004
946670346
1022721028
1111909710
1277388b0
134926ac5
143036388
151edc253
hex15ab204

22721028 has 48 divisors (see below), whose sum is σ = 59195136. Its totient is φ = 6723360.

The previous prime is 22721021. The next prime is 22721029. The reversal of 22721028 is 82012722.

It is a happy number.

It is a super-2 number, since 2×227210282 = 1032490226753568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22720989 and 22721007.

It is not an unprimeable number, because it can be changed into a prime (22721021) 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, 3675 + ... + 7677.

It is an arithmetic number, because the mean of its divisors is an integer number (1233232).

Almost surely, 222721028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22721028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29597568).

22721028 is an abundant number, since it is smaller than the sum of its proper divisors (36474108).

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

22721028 is a wasteful number, since it uses less digits than its factorization.

22721028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 22721028 is about 4766.6579487100. The cubic root of 22721028 is about 283.2322216681.

The spelling of 22721028 in words is "twenty-two million, seven hundred twenty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 4003 5676 8006 12009 16012 24018 44033 48036 88066 132099 172129 176132 264198 344258 516387 528396 688516 1032774 1893419 2065548 3786838 5680257 7573676 11360514 22721028