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22137948 = 2234743227
BaseRepresentation
bin101010001110…
…0110001011100
31112122201120000
41110130301130
521131403243
62110254300
7356112060
oct124346134
945581500
1022137948
1111550628
1274b7390
1347815a1
142d23aa0
151e245d3
hex151cc5c

22137948 has 120 divisors (see below), whose sum is σ = 67976832. Its totient is φ = 6150816.

The previous prime is 22137931. The next prime is 22137953. The reversal of 22137948 is 84973122.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97411 + ... + 97637.

Almost surely, 222137948 is an apocalyptic number.

22137948 is a gapful number since it is divisible by the number (28) 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 22137948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33988416).

22137948 is an abundant number, since it is smaller than the sum of its proper divisors (45838884).

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

22137948 is a wasteful number, since it uses less digits than its factorization.

22137948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 282 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 22137948 is about 4705.0980861189. The cubic root of 22137948 is about 280.7883733954.

The spelling of 22137948 in words is "twenty-two million, one hundred thirty-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 81 84 86 108 126 129 162 172 189 227 252 258 301 324 378 387 454 516 567 602 681 756 774 903 908 1134 1161 1204 1362 1548 1589 1806 2043 2268 2322 2709 2724 3178 3483 3612 4086 4644 4767 5418 6129 6356 6966 8127 8172 9534 9761 10836 12258 13932 14301 16254 18387 19068 19522 24381 24516 28602 29283 32508 36774 39044 42903 48762 57204 58566 68327 73548 85806 87849 97524 117132 128709 136654 171612 175698 204981 257418 263547 273308 351396 409962 514836 527094 614943 790641 819924 1054188 1229886 1581282 1844829 2459772 3162564 3689658 5534487 7379316 11068974 22137948