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201931620 = 2235111916103
BaseRepresentation
bin11000000100100…
…11101101100100
3112001222012002220
430002103231210
5403143302440
632012032340
75001250632
oct1402235544
9461865086
10201931620
11a3a92240
12577626b0
1332ab2587
141cb66352
1512adb8d0
hexc093b64

201931620 has 96 divisors (see below), whose sum is σ = 649313280. Its totient is φ = 46373760.

The previous prime is 201931589. The next prime is 201931633. The reversal of 201931620 is 26139102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4489 + ... + 20591.

It is an arithmetic number, because the mean of its divisors is an integer number (6763680).

Almost surely, 2201931620 is an apocalyptic number.

201931620 is a gapful number since it is divisible by the number (20) 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 201931620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324656640).

201931620 is an abundant number, since it is smaller than the sum of its proper divisors (447381660).

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

201931620 is a wasteful number, since it uses less digits than its factorization.

201931620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16145 (or 16143 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 201931620 is about 14210.2645999292. The cubic root of 201931620 is about 586.6802159118.

The spelling of 201931620 in words is "two hundred one million, nine hundred thirty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 209 220 228 285 330 380 418 570 627 660 836 1045 1140 1254 2090 2508 3135 4180 6270 12540 16103 32206 48309 64412 80515 96618 161030 177133 193236 241545 305957 322060 354266 483090 531399 611914 708532 885665 917871 966180 1062798 1223828 1529785 1771330 1835742 2125596 2656995 3059570 3365527 3542660 3671484 4589355 5313990 6119140 6731054 9178710 10096581 10627980 13462108 16827635 18357420 20193162 33655270 40386324 50482905 67310540 100965810 201931620