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70222464 = 273413521
BaseRepresentation
bin1000010111110…
…00001010000000
311220010200010000
410023320022000
5120434104324
610545040000
71511611134
oct413701200
9156120100
1070222464
11367031a4
121b626000
1311718b70
14947d3c4
1562719c9
hex42f8280

70222464 has 160 divisors (see below), whose sum is σ = 225488340. Its totient is φ = 21565440.

The previous prime is 70222459. The next prime is 70222507. The reversal of 70222464 is 46422207.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 63872064 + 6350400 = 7992^2 + 2520^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134524 + ... + 135044.

Almost surely, 270222464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70222464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112744170).

70222464 is an abundant number, since it is smaller than the sum of its proper divisors (155265876).

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

70222464 is a wasteful number, since it uses less digits than its factorization.

70222464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 70222464 is about 8379.8844860774. The cubic root of 70222464 is about 412.5646576333.

The spelling of 70222464 in words is "seventy million, two hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 521 576 624 648 702 832 864 936 1042 1053 1152 1248 1296 1404 1563 1664 1728 1872 2084 2106 2496 2592 2808 3126 3456 3744 4168 4212 4689 4992 5184 5616 6252 6773 7488 8336 8424 9378 10368 11232 12504 13546 14067 14976 16672 16848 18756 20319 22464 25008 27092 28134 33344 33696 37512 40638 42201 44928 50016 54184 56268 60957 66688 67392 75024 81276 84402 100032 108368 112536 121914 134784 150048 162552 168804 182871 200064 216736 225072 243828 300096 325104 337608 365742 433472 450144 487656 548613 600192 650208 675216 731484 866944 900288 975312 1097226 1300416 1350432 1462968 1800576 1950624 2194452 2600832 2700864 2925936 3901248 4388904 5401728 5851872 7802496 8777808 11703744 17555616 23407488 35111232 70222464