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228744133120 = 2955316310343
BaseRepresentation
bin1101010100001000110…
…1100111101000000000
3210212102120102221101101
43111002031213220000
512221431444224440
6253030020344144
722345331023246
oct3250215475000
9725376387341
10228744133120
1189012110918
12383b9b45054
131875545c179
14b0dd816796
155e3bbc969a
hex3542367a00

228744133120 has 160 divisors (see below), whose sum is σ = 562280476032. Its totient is φ = 89211912192.

The previous prime is 228744133109. The next prime is 228744133127. The reversal of 228744133120 is 21331447822.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 228744133120.

It is not an unprimeable number, because it can be changed into a prime (228744133127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22110669 + ... + 22121011.

Almost surely, 2228744133120 is an apocalyptic number.

228744133120 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 228744133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281140238016).

228744133120 is an abundant number, since it is smaller than the sum of its proper divisors (333536342912).

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

228744133120 is a wasteful number, since it uses less digits than its factorization.

228744133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10582 (or 10566 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 228744133120 in words is "two hundred twenty-eight billion, seven hundred forty-four million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 163 212 256 265 320 326 424 512 530 640 652 815 848 1060 1280 1304 1630 1696 2120 2560 2608 3260 3392 4240 5216 6520 6784 8480 8639 10343 10432 13040 13568 16960 17278 20686 20864 26080 27136 33920 34556 41372 41728 43195 51715 52160 67840 69112 82744 83456 86390 103430 104320 135680 138224 165488 172780 206860 208640 276448 330976 345560 413720 417280 548179 552896 661952 691120 827440 1096358 1105792 1323904 1382240 1654880 1685909 2192716 2211584 2647808 2740895 2764480 3309760 3371818 4385432 4423168 5295616 5481790 5528960 6619520 6743636 8429545 8770864 10963580 11057920 13239040 13487272 16859090 17541728 21927160 22115840 26478080 26974544 33718180 35083456 43854320 53949088 67436360 70166912 87708640 89353177 107898176 134872720 140333824 175417280 178706354 215796352 269745440 280667648 350834560 357412708 431592704 446765885 539490880 701669120 714825416 863185408 893531770 1078981760 1403338240 1429650832 1787063540 2157963520 2859301664 3574127080 4315927040 5718603328 7148254160 11437206656 14296508320 22874413312 28593016640 45748826624 57186033280 114372066560 228744133120