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29227301040 = 24357105116553
BaseRepresentation
bin11011001110000101…
…010011100010110000
32210102220022201200010
4123032011103202300
5434324142113130
621232110254520
72053164650130
oct331605234260
983386281603
1029227301040
111143905a953
1257b81b7440
1329aa280892
1415b3988ac0
15b60d960b0
hex6ce1538b0

29227301040 has 160 divisors (see below), whose sum is σ = 103652937216. Its totient is φ = 6673766400.

The previous prime is 29227301029. The next prime is 29227301069. The reversal of 29227301040 is 4010372292.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 29227300989 and 29227301007.

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, 1757404 + ... + 1773956.

Almost surely, 229227301040 is an apocalyptic number.

29227301040 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 29227301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51826468608).

29227301040 is an abundant number, since it is smaller than the sum of its proper divisors (74425636176).

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

29227301040 is a wasteful number, since it uses less digits than its factorization.

29227301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17627 (or 17621 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 29227301040 in words is "twenty-nine billion, two hundred twenty-seven million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1051 1680 2102 3153 4204 5255 6306 7357 8408 10510 12612 14714 15765 16553 16816 21020 22071 25224 29428 31530 33106 36785 42040 44142 49659 50448 58856 63060 66212 73570 82765 84080 88284 99318 110355 115871 117712 126120 132424 147140 165530 176568 198636 220710 231742 248295 252240 264848 294280 331060 347613 353136 397272 441420 463484 496590 579355 588560 662120 695226 794544 882840 926968 993180 1158710 1324240 1390452 1738065 1765680 1853936 1986360 2317420 2780904 3476130 3972720 4634840 5561808 6952260 9269680 13904520 17397203 27809040 34794406 52191609 69588812 86986015 104383218 121780421 139177624 173972030 208766436 243560842 260958045 278355248 347944060 365341263 417532872 487121684 521916090 608902105 695888120 730682526 835065744 974243368 1043832180 1217804210 1391776240 1461365052 1826706315 1948486736 2087664360 2435608420 2922730104 3653412630 4175328720 4871216840 5845460208 7306825260 9742433680 14613650520 29227301040