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122916220 = 22573761389
BaseRepresentation
bin1110101001110…
…00110101111100
322120021210100121
413110320311330
5222431304340
620110304324
73021525220
oct724706574
9276253317
10122916220
1163423859
12351b80a4
131c6083bb
1412478780
15abce94a
hex7538d7c

122916220 has 96 divisors (see below), whose sum is σ = 308730240. Its totient is φ = 40227840.

The previous prime is 122916217. The next prime is 122916221. The reversal of 122916220 is 22619221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122916221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315786 + ... + 316174.

It is an arithmetic number, because the mean of its divisors is an integer number (3215940).

Almost surely, 2122916220 is an apocalyptic number.

122916220 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 122916220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

122916220 is an abundant number, since it is smaller than the sum of its proper divisors (185814020).

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

122916220 is a wasteful number, since it uses less digits than its factorization.

122916220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 122916220 is about 11086.7587689099. The cubic root of 122916220 is about 497.2060433595.

The spelling of 122916220 in words is "one hundred twenty-two million, nine hundred sixteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 61 70 74 122 140 148 185 244 259 305 370 389 427 518 610 740 778 854 1036 1220 1295 1556 1708 1945 2135 2257 2590 2723 3890 4270 4514 5180 5446 7780 8540 9028 10892 11285 13615 14393 15799 22570 23729 27230 28786 31598 45140 47458 54460 57572 63196 71965 78995 94916 100751 118645 143930 157990 166103 201502 237290 287860 315980 332206 403004 474580 503755 664412 830515 877973 1007510 1661030 1755946 2015020 3322060 3511892 4389865 6145811 8779730 12291622 17559460 24583244 30729055 61458110 122916220