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212146422150 = 235213187158147
BaseRepresentation
bin1100010110010011101…
…0011000000110000110
3202021120211220212021110
43011210322120012012
511433433441002100
6241243030025450
721220120556325
oct3054472300606
9667524825243
10212146422150
1181a75140a13
12351474a8286
131700b8cc210
14a3a73360bc
1557b99b9250
hex3164e98186

212146422150 has 96 divisors (see below), whose sum is σ = 566906715648. Its totient is φ = 52191849600.

The previous prime is 212146422133. The next prime is 212146422179. The reversal of 212146422150 is 51224641212.

It is a super-2 number, since 2×2121464221502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3619377 + ... + 3677523.

It is an arithmetic number, because the mean of its divisors is an integer number (5905278288).

Almost surely, 2212146422150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212146422150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283453357824).

212146422150 is an abundant number, since it is smaller than the sum of its proper divisors (354760293498).

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

212146422150 is a wasteful number, since it uses less digits than its factorization.

212146422150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60046 (or 60041 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 212146422150 in words is "two hundred twelve billion, one hundred forty-six million, four hundred twenty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1871 1950 3742 5613 9355 11226 18710 24323 28065 46775 48646 56130 58147 72969 93550 116294 121615 140325 145938 174441 243230 280650 290735 348882 364845 581470 608075 729690 755911 872205 1216150 1453675 1511822 1744410 1824225 2267733 2907350 3648450 3779555 4361025 4535466 7559110 8722050 11338665 18897775 22677330 37795550 56693325 108793037 113386650 217586074 326379111 543965185 652758222 1087930370 1414309481 1631895555 2719825925 2828618962 3263791110 4242928443 5439651850 7071547405 8159477775 8485856886 14143094810 16318955550 21214642215 35357737025 42429284430 70715474050 106073211075 212146422150