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2123132220 = 22325117391451
BaseRepresentation
bin111111010001100…
…0110110100111100
312110222001021212200
41332203012310330
513322010212340
6550402031500
7103420216566
oct17643066474
95428037780
102123132220
1199a4a8730
124b3048590
1327ab29b71
14161d8c336
15c65d6330
hex7e8c6d3c

2123132220 has 144 divisors (see below), whose sum is σ = 7039992960. Its totient is φ = 513648000.

The previous prime is 2123132201. The next prime is 2123132239. The reversal of 2123132220 is 222313212.

It is an interprime number because it is at equal distance from previous prime (2123132201) and next prime (2123132239).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2123132193 and 2123132202.

It is a congruent number.

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, 1462495 + ... + 1463945.

It is an arithmetic number, because the mean of its divisors is an integer number (48888840).

Almost surely, 22123132220 is an apocalyptic number.

2123132220 is a gapful number since it is divisible by the number (20) 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 2123132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519996480).

2123132220 is an abundant number, since it is smaller than the sum of its proper divisors (4916860740).

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

2123132220 is a wasteful number, since it uses less digits than its factorization.

2123132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2123132220 is about 46077.4589143108. The cubic root of 2123132220 is about 1285.2640113210.

Adding to 2123132220 its reverse (222313212), we get a palindrome (2345445432).

The spelling of 2123132220 in words is "two billion, one hundred twenty-three million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 739 990 1451 1478 1980 2217 2902 2956 3695 4353 4434 5804 6651 7255 7390 8129 8706 8868 11085 13059 13302 14510 14780 15961 16258 17412 21765 22170 24387 26118 26604 29020 31922 32516 33255 40645 43530 44340 47883 48774 52236 63844 65295 66510 73161 79805 81290 87060 95766 97548 121935 130590 133020 143649 146322 159610 162580 191532 239415 243870 261180 287298 292644 319220 365805 478830 487740 574596 718245 731610 957660 1072289 1436490 1463220 2144578 2872980 3216867 4289156 5361445 6433734 9650601 10722890 11795179 12867468 16084335 19301202 21445780 23590358 32168670 35385537 38602404 47180716 48253005 58975895 64337340 70771074 96506010 106156611 117951790 141542148 176927685 193012020 212313222 235903580 353855370 424626444 530783055 707710740 1061566110 2123132220