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2212413320 = 23513171072339
BaseRepresentation
bin1000001111011110…
…1011111110001000
312201012001020112002
42003313223332020
514012334211240
61003311410132
7105553126415
oct20367537610
95635036462
102212413320
11a35938967
12518b23948
13293489810
1416db8d10c
15ce36ed15
hex83debf88

2212413320 has 128 divisors (see below), whose sum is σ = 5731689600. Its totient is φ = 761327616.

The previous prime is 2212413311. The next prime is 2212413347. The reversal of 2212413320 is 233142122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2212413292 and 2212413301.

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, 944711 + ... + 947049.

It is an arithmetic number, because the mean of its divisors is an integer number (44778825).

Almost surely, 22212413320 is an apocalyptic number.

2212413320 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 2212413320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865844800).

2212413320 is an abundant number, since it is smaller than the sum of its proper divisors (3519276280).

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

2212413320 is a wasteful number, since it uses less digits than its factorization.

2212413320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2212413320 is about 47036.2978985379. The cubic root of 2212413320 is about 1303.0330207418.

Adding to 2212413320 its reverse (233142122), we get a palindrome (2445555442).

The spelling of 2212413320 in words is "two billion, two hundred twelve million, four hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 107 130 136 170 214 221 260 340 428 442 520 535 680 856 884 1070 1105 1391 1768 1819 2140 2210 2339 2782 3638 4280 4420 4678 5564 6955 7276 8840 9095 9356 11128 11695 13910 14552 18190 18712 23390 23647 27820 30407 36380 39763 46780 47294 55640 60814 72760 79526 93560 94588 118235 121628 152035 159052 189176 198815 236470 243256 250273 304070 318104 397630 472940 500546 516919 608140 795260 945880 1001092 1033838 1216280 1251365 1590520 2002184 2067676 2502730 2584595 3253549 4135352 4254641 5005460 5169190 6507098 8509282 10010920 10338380 13014196 16267745 17018564 20676760 21273205 26028392 32535490 34037128 42546410 55310333 65070980 85092820 110620666 130141960 170185640 221241332 276551665 442482664 553103330 1106206660 2212413320