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22469136144 = 2437135987187
BaseRepresentation
bin10100111011010000…
…111100111100010000
32010222220122101021120
4110323100330330100
5332004044324034
614153331322240
71423543335360
oct247320747420
963886571246
1022469136144
119590272604
124430a50380
1321710bbb40
1411321c09a0
158b78ebc49
hex53b43cf10

22469136144 has 160 divisors (see below), whose sum is σ = 72652016640. Its totient is φ = 5825419776.

The previous prime is 22469136139. The next prime is 22469136161. The reversal of 22469136144 is 44163196422.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 22469136096 and 22469136105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214119 + ... + 301305.

It is an arithmetic number, because the mean of its divisors is an integer number (454075104).

Almost surely, 222469136144 is an apocalyptic number.

22469136144 is a gapful number since it is divisible by the number (24) 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 22469136144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36326008320).

22469136144 is an abundant number, since it is smaller than the sum of its proper divisors (50182880496).

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

22469136144 is a wasteful number, since it uses less digits than its factorization.

22469136144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87277 (or 87271 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The spelling of 22469136144 in words is "twenty-two billion, four hundred sixty-nine million, one hundred thirty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 59 78 84 91 104 112 118 156 168 177 182 208 236 273 312 336 354 364 413 472 546 624 708 728 767 826 944 1092 1239 1416 1456 1534 1652 2184 2301 2478 2832 3068 3304 4368 4602 4956 5369 6136 6608 9204 9912 10738 12272 16107 18408 19824 21476 32214 36816 42952 64428 85904 87187 128856 174374 257712 261561 348748 523122 610309 697496 1046244 1133431 1220618 1394992 1830927 2092488 2266862 2441236 3400293 3661854 4184976 4533724 4882472 5144033 6800586 7323708 7934017 9067448 9764944 10288066 13601172 14647416 15432099 15868034 18134896 20576132 23802051 27202344 29294832 30864198 31736068 36008231 41152264 47604102 54404688 61728396 63472136 66872429 72016462 82304528 95208204 108024693 123456792 126944272 133744858 144032924 190416408 200617287 216049386 246913584 267489716 288065848 380832816 401234574 432098772 468107003 534979432 576131696 802469148 864197544 936214006 1069958864 1404321009 1604938296 1728395088 1872428012 2808642018 3209876592 3744856024 5617284036 7489712048 11234568072 22469136144