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22420152 = 233519607
BaseRepresentation
bin101010110000…
…1101010111000
31120012001200000
41111201222320
521214421102
62120313000
7361365606
oct125415270
946161600
1022420152
1111723657
127612760
13484cb81
142d98876
151e7d01c
hex1561ab8

22420152 has 96 divisors (see below), whose sum is σ = 66393600. Its totient is φ = 7068384.

The previous prime is 22420141. The next prime is 22420159. The reversal of 22420152 is 25102422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22420159) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36633 + ... + 37239.

It is an arithmetic number, because the mean of its divisors is an integer number (691600).

Almost surely, 222420152 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 22420152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33196800).

22420152 is an abundant number, since it is smaller than the sum of its proper divisors (43973448).

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

22420152 is a wasteful number, since it uses less digits than its factorization.

With its successor (22420153) it forms an eRAP, since the sums of their prime factors are consecutive (647 and 648).

22420152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 22420152 is about 4734.9922914404. The cubic root of 22420152 is about 281.9764579713.

Adding to 22420152 its reverse (25102422), we get a palindrome (47522574).

The spelling of 22420152 in words is "twenty-two million, four hundred twenty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 607 648 684 972 1026 1214 1368 1539 1821 1944 2052 2428 3078 3642 4104 4617 4856 5463 6156 7284 9234 10926 11533 12312 14568 16389 18468 21852 23066 32778 34599 36936 43704 46132 49167 65556 69198 92264 98334 103797 131112 138396 147501 196668 207594 276792 295002 311391 393336 415188 590004 622782 830376 934173 1180008 1245564 1868346 2491128 2802519 3736692 5605038 7473384 11210076 22420152