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22493040 = 24351737149
BaseRepresentation
bin101010111001…
…1011101110000
31120022202122120
41111303131300
521224234130
62122034240
7362121243
oct125633560
946282576
1022493040
1111773399
127648980
1348770bb
142db725a
151e94910
hex1573770

22493040 has 160 divisors (see below), whose sum is σ = 76334400. Its totient is φ = 5455872.

The previous prime is 22493033. The next prime is 22493087. The reversal of 22493040 is 4039422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 22493040.

It is a congruent number.

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, 150886 + ... + 151034.

It is an arithmetic number, because the mean of its divisors is an integer number (477090).

Almost surely, 222493040 is an apocalyptic number.

22493040 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 22493040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38167200).

22493040 is an abundant number, since it is smaller than the sum of its proper divisors (53841360).

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

22493040 is a wasteful number, since it uses less digits than its factorization.

22493040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 22493040 is about 4742.6827850912. The cubic root of 22493040 is about 282.2816962811.

The spelling of 22493040 in words is "twenty-two million, four hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 37 40 48 51 60 68 74 80 85 102 111 120 136 148 149 170 185 204 222 240 255 272 296 298 340 370 408 444 447 510 555 592 596 629 680 740 745 816 888 894 1020 1110 1192 1258 1360 1480 1490 1776 1788 1887 2040 2220 2235 2384 2516 2533 2960 2980 3145 3576 3774 4080 4440 4470 5032 5066 5513 5960 6290 7152 7548 7599 8880 8940 9435 10064 10132 11026 11920 12580 12665 15096 15198 16539 17880 18870 20264 22052 25160 25330 27565 30192 30396 33078 35760 37740 37995 40528 44104 50320 50660 55130 60792 66156 75480 75990 82695 88208 93721 101320 110260 121584 132312 150960 151980 165390 187442 202640 220520 264624 281163 303960 330780 374884 441040 468605 562326 607920 661560 749768 937210 1124652 1323120 1405815 1499536 1874420 2249304 2811630 3748840 4498608 5623260 7497680 11246520 22493040