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122470208 = 2674797
BaseRepresentation
bin1110100110010…
…11111101000000
322112110010112122
413103023331000
5222323021313
620052543412
73014660000
oct723137500
9275403478
10122470208
1163149753
1235021b68
131c4b03a3
14123a0000
15ab42708
hex74cbf40

122470208 has 70 divisors (see below), whose sum is σ = 283870146. Its totient is φ = 52421376.

The previous prime is 122470199. The next prime is 122470217. The reversal of 122470208 is 802074221.

It is an interprime number because it is at equal distance from previous prime (122470199) and next prime (122470217).

It can be written as a sum of positive squares in only one way, i.e., 103876864 + 18593344 = 10192^2 + 4312^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153266 + ... + 154062.

Almost surely, 2122470208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122470208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141935073).

122470208 is an abundant number, since it is smaller than the sum of its proper divisors (161399938).

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

122470208 is an frugal number, since it uses more digits than its factorization.

122470208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 122470208 is about 11066.6258633786. The cubic root of 122470208 is about 496.6039296360.

The spelling of 122470208 in words is "one hundred twenty-two million, four hundred seventy thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 797 1372 1568 1594 2401 2744 3136 3188 4802 5488 5579 6376 9604 10976 11158 12752 19208 21952 22316 25504 38416 39053 44632 51008 76832 78106 89264 153664 156212 178528 273371 312424 357056 546742 624848 1093484 1249696 1913597 2186968 2499392 3827194 4373936 7654388 8747872 15308776 17495744 30617552 61235104 122470208