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4222552552224 = 2533711871001501
BaseRepresentation
bin111101011100100011101…
…111101011001100100000
3112221200010221120202001120
4331130203233223030200
51023140241423132344
612551451443332240
7614032534330206
oct75344357531440
915850127522046
104222552552224
11138885791a086
12582438381080
13248253591966
14108530717076
1574c89307219
hex3d723beb320

4222552552224 has 96 divisors (see below), whose sum is σ = 11393375184576. Its totient is φ = 1368321408000.

The previous prime is 4222552552217. The next prime is 4222552552249.

4222552552224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3715474 + ... + 4716974.

It is an arithmetic number, because the mean of its divisors is an integer number (118680991506).

Almost surely, 24222552552224 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 4222552552224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5696687592288).

4222552552224 is an abundant number, since it is smaller than the sum of its proper divisors (7170822632352).

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

4222552552224 is a wasteful number, since it uses less digits than its factorization.

4222552552224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002738 (or 1002730 counting only the distinct ones).

The product of its digits is 1280000, while the sum is 42.

The spelling of 4222552552224 in words is "four trillion, two hundred twenty-two billion, five hundred fifty-two million, five hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1187 1776 2374 3552 3561 4748 7122 9496 14244 18992 28488 37984 43919 56976 87838 113952 131757 175676 263514 351352 527028 702704 1001501 1054056 1405408 2003002 2108112 3004503 4006004 4216224 6009006 8012008 12018012 16024016 24036024 32048032 37055537 48072048 74111074 96144096 111166611 148222148 222333222 296444296 444666444 592888592 889332888 1185777184 1188781687 1778665776 2377563374 3557331552 3566345061 4755126748 7132690122 9510253496 14265380244 19020506992 28530760488 38041013984 43984922419 57061520976 87969844838 114123041952 131954767257 175939689676 263909534514 351879379352 527819069028 703758758704 1055638138056 1407517517408 2111276276112 4222552552224