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661652220 = 2235311272801
BaseRepresentation
bin100111011100000…
…000001011111100
31201010000102012210
4213130000023330
52323340332340
6145353300420
722252644135
oct4734001374
91633012183
10661652220
1130a538119
12165704710
13a71038b8
1463c34c8c
153d14a180
hex277002fc

661652220 has 96 divisors (see below), whose sum is σ = 1928134656. Its totient is φ = 169344000.

The previous prime is 661652171. The next prime is 661652221. The reversal of 661652220 is 22256166.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (661652221) 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, 234820 + ... + 237620.

It is an arithmetic number, because the mean of its divisors is an integer number (20084736).

Almost surely, 2661652220 is an apocalyptic number.

661652220 is a gapful number since it is divisible by the number (60) 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 661652220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964067328).

661652220 is an abundant number, since it is smaller than the sum of its proper divisors (1266482436).

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

661652220 is a wasteful number, since it uses less digits than its factorization.

661652220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 661652220 is about 25722.6013458981. The cubic root of 661652220 is about 871.3846888743.

The spelling of 661652220 in words is "six hundred sixty-one million, six hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 127 155 186 254 310 372 381 465 508 620 635 762 930 1270 1524 1860 1905 2540 2801 3810 3937 5602 7620 7874 8403 11204 11811 14005 15748 16806 19685 23622 28010 33612 39370 42015 47244 56020 59055 78740 84030 86831 118110 168060 173662 236220 260493 347324 355727 434155 520986 711454 868310 1041972 1067181 1302465 1422908 1736620 1778635 2134362 2604930 3557270 4268724 5209860 5335905 7114540 10671810 11027537 21343620 22055074 33082611 44110148 55137685 66165222 110275370 132330444 165413055 220550740 330826110 661652220