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122240340 = 22345611237
BaseRepresentation
bin1110100100100…
…11110101010100
322112000110020000
413102103311110
5222243142330
620044011300
73013011555
oct722236524
9275013200
10122240340
1163001a82
1234b30b30
131c42c881
141234032c
15aae9560
hex7493d54

122240340 has 120 divisors (see below), whose sum is σ = 390073992. Its totient is φ = 32037120.

The previous prime is 122240333. The next prime is 122240351. The reversal of 122240340 is 43042221.

122240340 is a `hidden beast` number, since 1 + 222 + 403 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2862864 + 119377476 = 1692^2 + 10926^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98202 + ... + 99438.

Almost surely, 2122240340 is an apocalyptic number.

122240340 is a gapful number since it is divisible by the number (10) 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 122240340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195036996).

122240340 is an abundant number, since it is smaller than the sum of its proper divisors (267833652).

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

122240340 is a wasteful number, since it uses less digits than its factorization.

122240340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 122240340 is about 11056.2353448179. The cubic root of 122240340 is about 496.2930381199.

Adding to 122240340 its reverse (43042221), we get a palindrome (165282561).

The spelling of 122240340 in words is "one hundred twenty-two million, two hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 81 90 108 122 135 162 180 183 244 270 305 324 366 405 540 549 610 732 810 915 1098 1220 1237 1620 1647 1830 2196 2474 2745 3294 3660 3711 4941 4948 5490 6185 6588 7422 8235 9882 10980 11133 12370 14844 16470 18555 19764 22266 24705 24740 32940 33399 37110 44532 49410 55665 66798 74220 75457 98820 100197 111330 133596 150914 166995 200394 222660 226371 301828 333990 377285 400788 452742 500985 667980 679113 754570 905484 1001970 1131855 1358226 1509140 2003940 2037339 2263710 2716452 3395565 4074678 4527420 6112017 6791130 8149356 10186695 12224034 13582260 20373390 24448068 30560085 40746780 61120170 122240340