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11422332240 = 2435112393331
BaseRepresentation
bin10101010001101001…
…01111010101010000
31002111001010121011020
422220310233111100
5141343104112430
65125232115440
7553025136114
oct125064572520
932431117136
1011422332240
114931677300
122269395b80
131100587a97
147a5009744
1546cbb4b10
hex2a8d2f550

11422332240 has 120 divisors (see below), whose sum is σ = 38920988064. Its totient is φ = 2769043200.

The previous prime is 11422332203. The next prime is 11422332281. The reversal of 11422332240 is 4223322411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 11422332240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167626 + ... + 225705.

Almost surely, 211422332240 is an apocalyptic number.

11422332240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11422332240 is an abundant number, since it is smaller than the sum of its proper divisors (27498655824).

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

11422332240 is a wasteful number, since it uses less digits than its factorization.

11422332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393369 (or 393352 counting only the distinct ones).

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

Adding to 11422332240 its reverse (4223322411), we get a palindrome (15645654651).

It can be divided in two parts, 1 and 1422332240, that added together give a palindrome (1422332241).

The spelling of 11422332240 in words is "eleven billion, four hundred twenty-two million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 29040 393331 786662 1179993 1573324 1966655 2359986 3146648 3933310 4326641 4719972 5899965 6293296 7866620 8653282 9439944 11799930 12979923 15733240 17306564 18879888 21633205 23599860 25959846 31466480 34613128 43266410 47199720 47593051 51919692 64899615 69226256 86532820 94399440 95186102 103839384 129799230 142779153 173065640 190372204 207678768 237965255 259598460 285558306 346131280 380744408 475930510 519196920 571116612 713895765 761488816 951861020 1038393840 1142233224 1427791530 1903722040 2284466448 2855583060 3807444080 5711166120 11422332240