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2239920 = 243351761
BaseRepresentation
bin1000100010110110110000
311012210121000
420202312300
51033134140
6120002000
725016244
oct10426660
94183530
102239920
11129a981
12900300
136056c7
14424424
152e3a30
hex222db0

2239920 has 160 divisors (see below), whose sum is σ = 8303040. Its totient is φ = 552960.

The previous prime is 2239889. The next prime is 2239933. The reversal of 2239920 is 299322.

2239920 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 36690 + ... + 36750.

It is an arithmetic number, because the mean of its divisors is an integer number (51894).

22239920 is an apocalyptic number.

2239920 is a gapful number since it is divisible by the number (20) 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 2239920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151520).

2239920 is an abundant number, since it is smaller than the sum of its proper divisors (6063120).

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

2239920 is a wasteful number, since it uses less digits than its factorization.

2239920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2239920 is about 1496.6362283468. The cubic root of 2239920 is about 130.8410947384.

The spelling of 2239920 in words is "two million, two hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 61 68 72 80 85 90 102 108 120 122 135 136 144 153 170 180 183 204 216 240 244 255 270 272 305 306 340 360 366 408 432 459 488 510 540 549 610 612 680 720 732 765 816 915 918 976 1020 1037 1080 1098 1220 1224 1360 1464 1530 1647 1830 1836 2040 2074 2160 2196 2295 2440 2448 2745 2928 3060 3111 3294 3660 3672 4080 4148 4392 4590 4880 5185 5490 6120 6222 6588 7320 7344 8235 8296 8784 9180 9333 10370 10980 12240 12444 13176 14640 15555 16470 16592 18360 18666 20740 21960 24888 26352 27999 31110 32940 36720 37332 41480 43920 46665 49776 55998 62220 65880 74664 82960 93330 111996 124440 131760 139995 149328 186660 223992 248880 279990 373320 447984 559980 746640 1119960 2239920