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190951552 = 2711212329
BaseRepresentation
bin10110110000110…
…11000010000000
3111022022100021201
423120123002000
5342340422202
630540430544
74506030031
oct1330330200
9438270251
10190951552
1198872800
1253b48454
13307398ac
141b508a88
1511b6d387
hexb61b080

190951552 has 48 divisors (see below), whose sum is σ = 418171950. Its totient is φ = 86789120.

The previous prime is 190951529. The next prime is 190951567. The reversal of 190951552 is 255159091.

190951552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 190881856 + 69696 = 13816^2 + 264^2 .

It is a super-2 number, since 2×1909515522 = 72924990422417408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9324 + ... + 21652.

Almost surely, 2190951552 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 190951552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209085975).

190951552 is an abundant number, since it is smaller than the sum of its proper divisors (227220398).

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

190951552 is a wasteful number, since it uses less digits than its factorization.

190951552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12365 (or 12342 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 37.

The square root of 190951552 is about 13818.5220627967. The cubic root of 190951552 is about 575.8478250264.

The spelling of 190951552 in words is "one hundred ninety million, nine hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 12329 15488 24658 49316 98632 135619 197264 271238 394528 542476 789056 1084952 1491809 1578112 2169904 2983618 4339808 5967236 8679616 11934472 17359232 23868944 47737888 95475776 190951552