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2922677216420 = 2251329537313641
BaseRepresentation
bin101010100001111101001…
…000110010010010100100
3101100101221101210212221212
4222201331020302102210
5340341120331411140
610114354231530552
7421104444304133
oct52417510622244
911311841725855
102922677216420
11a27556104a55
123b2526829a58
131827b8265420
14a165b93d91a
155105b309765
hex2a87d2324a4

2922677216420 has 96 divisors (see below), whose sum is σ = 6966682823520. Its totient is φ = 1022271344640.

The previous prime is 2922677216363. The next prime is 2922677216467. The reversal of 2922677216420 is 246127762292.

It can be written as a sum of positive squares in 16 ways, for example, as 70820918884 + 2851856297536 = 266122^2 + 1688744^2 .

It is a super-2 number, since 2×29226772164202 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3257201 + ... + 4056440.

It is an arithmetic number, because the mean of its divisors is an integer number (72569612745).

Almost surely, 22922677216420 is an apocalyptic number.

2922677216420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2922677216420 is an abundant number, since it is smaller than the sum of its proper divisors (4044005607100).

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

2922677216420 is a wasteful number, since it uses less digits than its factorization.

2922677216420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7313745 (or 7313743 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 50.

The spelling of 2922677216420 in words is "two trillion, nine hundred twenty-two billion, six hundred seventy-seven million, two hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 53 58 65 106 116 130 145 212 260 265 290 377 530 580 689 754 1060 1378 1508 1537 1885 2756 3074 3445 3770 6148 6890 7540 7685 13780 15370 19981 30740 39962 79924 99905 199810 399620 7313641 14627282 29254564 36568205 73136410 95077333 146272820 190154666 212095589 380309332 387622973 424191178 475386665 775245946 848382356 950773330 1060477945 1550491892 1901546660 1938114865 2120955890 2757242657 3876229730 4241911780 5039098649 5514485314 7752459460 10078197298 11028970628 11241066217 13786213285 20156394596 22482132434 25195493245 27572426570 44964264868 50390986490 55144853140 56205331085 100781972980 112410662170 146133860821 224821324340 292267721642 584535443284 730669304105 1461338608210 2922677216420