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2023272 = 2333171929
BaseRepresentation
bin111101101111101101000
310210210102000
413231331220
51004221042
6111211000
723124516
oct7557550
93723360
102023272
111162129
12816a60
1355ac04
143a94b6
1529e74c
hex1edf68

2023272 has 128 divisors (see below), whose sum is σ = 6480000. Its totient is φ = 580608.

The previous prime is 2023267. The next prime is 2023283. The reversal of 2023272 is 2723202.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 22 + 0 + 214 + 313 + 215 + 76 + 218 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69754 + ... + 69782.

It is an arithmetic number, because the mean of its divisors is an integer number (50625).

22023272 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 2023272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240000).

2023272 is an abundant number, since it is smaller than the sum of its proper divisors (4456728).

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

2023272 is a wasteful number, since it uses less digits than its factorization.

2023272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2023272 is about 1422.4176601828. The cubic root of 2023272 is about 126.4789030939.

Adding to 2023272 its reverse (2723202), we get a palindrome (4746474).

The spelling of 2023272 in words is "two million, twenty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 29 34 36 38 51 54 57 58 68 72 76 87 102 108 114 116 136 152 153 171 174 204 216 228 232 261 306 323 342 348 408 456 459 493 513 522 551 612 646 684 696 783 918 969 986 1026 1044 1102 1224 1292 1368 1479 1566 1653 1836 1938 1972 2052 2088 2204 2584 2907 2958 3132 3306 3672 3876 3944 4104 4408 4437 4959 5814 5916 6264 6612 7752 8721 8874 9367 9918 11628 11832 13224 13311 14877 17442 17748 18734 19836 23256 26622 28101 29754 34884 35496 37468 39672 53244 56202 59508 69768 74936 84303 106488 112404 119016 168606 224808 252909 337212 505818 674424 1011636 2023272