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1222333670464 = 26113212232
BaseRepresentation
bin10001110010011000110…
…000111010010001000000
311022212001112110010021121
4101302120300322101000
5130011314404423324
62333310552402024
7154211365524634
oct21623060722100
94285045403247
101222333670464
11431430544295
12178a910a6314
138b35b5c632a
1443238724dc4
1521be07795e4
hex11c98c3a440

1222333670464 has 63 divisors (see below), whose sum is σ = 2449226178373. Its totient is φ = 605262973952.

The previous prime is 1222333670449. The next prime is 1222333670471. The reversal of 1222333670464 is 4640763332221.

It is a happy number.

The square root of 1222333670464 is 1105592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21538497600 + 1200795172864 = 146760^2 + 1095808^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1222333670464.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 999454557 + ... + 999455779.

Almost surely, 21222333670464 is an apocalyptic number.

1222333670464 is the 1105592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222333670464

1222333670464 is an abundant number, since it is smaller than the sum of its proper divisors (1226892507909).

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

1222333670464 is an frugal number, since it uses more digits than its factorization.

1222333670464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 43.

The spelling of 1222333670464 in words is "one trillion, two hundred twenty-two billion, three hundred thirty-three million, six hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1223 1808 2446 3616 4892 7232 9784 12769 19568 25538 39136 51076 78272 102152 138199 204304 276398 408608 552796 817216 1105592 1495729 2211184 2991458 4422368 5982916 8844736 11965832 15616487 23931664 31232974 47863328 62465948 95726656 124931896 169017377 249863792 338034754 499727584 676069508 999455168 1352139016 2704278032 5408556064 10817112128 19098963601 38197927202 76395854404 152791708808 305583417616 611166835232 1222333670464