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114922444 = 227213233753
BaseRepresentation
bin1101101100110…
…01001111001100
322000020122221211
412312121033030
5213410004234
615223104204
72563552600
oct666311714
9260218854
10114922444
1159963a2a
12325a2064
131aa69a60
1411397500
15a151164
hex6d993cc

114922444 has 144 divisors (see below), whose sum is σ = 275099328. Its totient is φ = 41513472.

The previous prime is 114922439. The next prime is 114922459. The reversal of 114922444 is 444229411.

Its product of digits (9216) is a multiple of the sum of its prime factors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2168322 + ... + 2168374.

It is an arithmetic number, because the mean of its divisors is an integer number (1910412).

Almost surely, 2114922444 is an apocalyptic number.

114922444 is a gapful number since it is divisible by the number (14) 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 114922444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137549664).

114922444 is an abundant number, since it is smaller than the sum of its proper divisors (160176884).

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

114922444 is a wasteful number, since it uses less digits than its factorization.

114922444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 114922444 is about 10720.1886177436. The cubic root of 114922444 is about 486.1850695412.

The spelling of 114922444 in words is "one hundred fourteen million, nine hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 23 26 28 37 46 49 52 53 74 91 92 98 106 148 161 182 196 212 259 299 322 364 371 481 518 598 637 644 689 742 851 962 1036 1127 1196 1219 1274 1378 1484 1702 1813 1924 1961 2093 2254 2438 2548 2597 2756 3367 3404 3626 3922 4186 4508 4823 4876 5194 5957 6734 7252 7844 8372 8533 9646 10388 11063 11914 13468 13727 14651 15847 17066 19292 22126 23569 23828 25493 27454 29302 31694 33761 34132 41699 44252 45103 47138 50986 54908 58604 59731 63388 67522 77441 83398 90206 94276 96089 101972 110929 119462 135044 154882 166796 178451 180412 192178 221858 238924 309764 315721 356902 384356 443716 542087 586339 631442 713804 776503 1084174 1172678 1249157 1262884 1553006 2168348 2210047 2345356 2498314 3106012 4104373 4420094 4996628 8208746 8840188 16417492 28730611 57461222 114922444