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10229240 = 2357217307
BaseRepresentation
bin100111000001…
…010111111000
3201020200212202
4213001113320
510104313430
61003125332
7152642600
oct47012770
921220782
1010229240
11585741a
123513848
132172008
141503c00
15d70d45
hex9c15f8

10229240 has 96 divisors (see below), whose sum is σ = 28440720. Its totient is φ = 3290112.

The previous prime is 10229237. The next prime is 10229269. The reversal of 10229240 is 4292201.

10229240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33167 + ... + 33473.

Almost surely, 210229240 is an apocalyptic number.

10229240 is a gapful number since it is divisible by the number (10) 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 10229240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220360).

10229240 is an abundant number, since it is smaller than the sum of its proper divisors (18211480).

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

10229240 is a wasteful number, since it uses less digits than its factorization.

10229240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10229240 is about 3198.3183081113. The cubic root of 10229240 is about 217.0773224275.

The spelling of 10229240 in words is "ten million, two hundred twenty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 307 340 392 476 490 595 614 680 833 952 980 1190 1228 1535 1666 1960 2149 2380 2456 3070 3332 4165 4298 4760 5219 6140 6664 8330 8596 10438 10745 12280 15043 16660 17192 20876 21490 26095 30086 33320 36533 41752 42980 52190 60172 73066 75215 85960 104380 120344 146132 150430 182665 208760 255731 292264 300860 365330 511462 601720 730660 1022924 1278655 1461320 2045848 2557310 5114620 10229240