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2242103640 = 2335713719483
BaseRepresentation
bin1000010110100011…
…1100100101011000
312210020220122222120
42011220330211120
514042434304030
61010252021240
7106363365210
oct20550744530
95706818876
102242103640
11a50677717
12526a61820
1329968385a
14173abb240
15d1c87010
hex85a3c958

2242103640 has 128 divisors (see below), whose sum is σ = 7743720960. Its totient is φ = 508713984.

The previous prime is 2242103621. The next prime is 2242103659. The reversal of 2242103640 is 463012422.

It is an interprime number because it is at equal distance from previous prime (2242103621) and next prime (2242103659).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2242103640.

It is a congruent number.

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, 105339 + ... + 124821.

It is an arithmetic number, because the mean of its divisors is an integer number (60497820).

Almost surely, 22242103640 is an apocalyptic number.

2242103640 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 2242103640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871860480).

2242103640 is an abundant number, since it is smaller than the sum of its proper divisors (5501617320).

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

2242103640 is a wasteful number, since it uses less digits than its factorization.

2242103640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19641 (or 19637 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2242103640 is about 47350.8568032301. The cubic root of 2242103640 is about 1308.8359879427.

The spelling of 2242103640 in words is "two billion, two hundred forty-two million, one hundred three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 137 140 168 210 274 280 411 420 548 685 822 840 959 1096 1370 1644 1918 2055 2740 2877 3288 3836 4110 4795 5480 5754 7672 8220 9590 11508 14385 16440 19180 19483 23016 28770 38360 38966 57540 58449 77932 97415 115080 116898 136381 155864 194830 233796 272762 292245 389660 409143 467592 545524 584490 681905 779320 818286 1091048 1168980 1363810 1636572 2045715 2337960 2669171 2727620 3273144 4091430 5338342 5455240 8007513 8182860 10676684 13345855 16015026 16365720 18684197 21353368 26691710 32030052 37368394 40037565 53383420 56052591 64060104 74736788 80075130 93420985 106766840 112105182 149473576 160150260 186841970 224210364 280262955 320300520 373683940 448420728 560525910 747367880 1121051820 2242103640